-
1
-
-
84932602589
-
Cambridge Studies in Advanced Mathematics, 116
-
Second edition. Cambridge University Press, Cambridge
-
Applebaum, D. Lévy processes and stochastic calculus Second edition. Cambridge Studies in Advanced Mathematics, 116. Cambridge University Press, Cambridge, 2009.
-
(2009)
Lévy processes and stochastic calculus
-
-
Applebaum, D.1
-
2
-
-
84968481098
-
The initial trace of a solution of the porous medium equation
-
no.
-
Aronson, D. G.; Caffarelli, L. A. The initial trace of a solution of the porous medium equation. Trans. Amer. Math. Soc. 280 (1983), no. 1, 351-366.
-
(1983)
Trans. Amer. Math. Soc.
, vol.280
, Issue.1
, pp. 351-366
-
-
Aronson, D.G.1
Caffarelli, L.A.2
-
3
-
-
77049100724
-
Continuity of the temperature in boundary heat control problems
-
no.
-
Athanasopoulos, I.; Caffarelli, L. A. Continuity of the temperature in boundary heat control problems. Adv. Math. 224 (2010), no. 1, 293-315.
-
(2010)
Adv. Math.
, vol.224
, Issue.1
, pp. 293-315
-
-
Athanasopoulos, I.1
Caffarelli, L.A.2
-
4
-
-
0000994591
-
The continuous dependence on φ of solutions of $ u_t - \Delta \varphi (u) = 0 $
-
no.
-
Bénilan, P.; Crandall, M. G. The continuous dependence on φ of solutions of $ u_t - \Delta \varphi (u) = 0 $. Indiana Univ. Math. J. 30 (1981), no. 2, 161-177.
-
(1981)
Indiana Univ. Math. J.
, vol.30
, Issue.2
, pp. 161-177
-
-
Bénilan, P.1
Crandall, M.G.2
-
5
-
-
0010922364
-
Regularizing effects of homogeneous evolution equations
-
Johns Hopkins University Press, Baltimore, Md.
-
Bénilan, P.; Crandall, M. G. Regularizing effects of homogeneous evolution equations. In Contributions to analysis and geometry (Baltimore, Md., 1980), 23-39. Johns Hopkins University Press, Baltimore, Md., 1981.
-
(1981)
Contributions to analysis and geometry (Baltimore, Md., 1980), 23-39
-
-
Bénilan, P.1
Crandall, M.G.2
-
7
-
-
0004044694
-
Cambridge Tracts in Mathematics, 121
-
Cambridge University Press, Cambridge
-
Bertoin, J. Lévy processes. Cambridge Tracts in Mathematics, 121. Cambridge University Press, Cambridge, 1996.
-
(1996)
Lévy processes
-
-
Bertoin, J.1
-
8
-
-
72549089382
-
Nonlinear diffusion of dislocation density and self-similar solutions
-
no.
-
Biler, P.; Karch, G.; Monneau, R. Nonlinear diffusion of dislocation density and self-similar solutions. Comm. Math. Phys. 294 (2010), no. 1, 145-168.
-
(2010)
Comm. Math. Phys.
, vol.294
, Issue.1
, pp. 145-168
-
-
Biler, P.1
Karch, G.2
Monneau, R.3
-
11
-
-
84873113675
-
Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
-
to appear. arXiv:1012.0867 [math.AP]
-
Cabré, X.; Sire, Y. Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates. Anal. PDE, to appear. Available at: arXiv:1012.0867 [math.AP]
-
Anal. PDE
-
-
Cabré, X.1
Sire, Y.2
-
12
-
-
77952952045
-
Positive solutions of nonlinear problems involving the square root of the Laplacian
-
no.
-
Cabré, X.; Tan, J. Positive solutions of nonlinear problems involving the square root of the Laplacian. Adv. Math. 224 (2010), no. 5, 2052-2093.
-
(2010)
Adv. Math.
, vol.224
, Issue.5
, pp. 2052-2093
-
-
Cabré, X.1
Tan, J.2
-
13
-
-
34548348805
-
An extension problem related to the fractional Laplacian
-
no.
-
Caffarelli, L.; Silvestre, L. An extension problem related to the fractional Laplacian. Comm. Partial Differential Equations 32 (2007), no. 7-9, 1245-1260.
-
(2007)
Comm. Partial Differential Equations
, vol.32
, Issue.7-9
, pp. 1245-1260
-
-
Caffarelli, L.1
Silvestre, L.2
-
14
-
-
77950869887
-
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
-
no.
-
Caffarelli, L. A.; Vasseur, A. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Ann. of Math. (2) 171 (2010), no. 3, 1903-1930.
-
(2010)
Ann. of Math. (2)
, vol.171
, Issue.3
, pp. 1903-1930
-
-
Caffarelli, L.A.1
Vasseur, A.2
-
15
-
-
79954553666
-
Asymptotic behaviour of a porous medium equation with fractional diffusion
-
no.
-
Caffarelli, L. A.; Vázquez, J. L. Asymptotic behaviour of a porous medium equation with fractional diffusion. Discrete Contin. Dyn. Syst. 29 (2011), no. 4, 1393-1404.
-
(2011)
Discrete Contin. Dyn. Syst.
, vol.29
, Issue.4
, pp. 1393-1404
-
-
Caffarelli, L.A.1
Vázquez, J.L.2
-
16
-
-
85027944204
-
Nonlinear porous medium flow with fractional potential pressure
-
no.
-
Caffarelli, L. A.; Vázquez, J. L. Nonlinear porous medium flow with fractional potential pressure. Arch. Ration. Mech. Anal. 202 (2011), no. 2, 537-565.
-
(2011)
Arch. Ration. Mech. Anal.
, vol.202
, Issue.2
, pp. 537-565
-
-
Caffarelli, L.A.1
Vázquez, J.L.2
-
17
-
-
79960514178
-
Regularity of radial extremal solutions for some non-local semilinear equations
-
no.
-
Capella, A.; Dávila, J.; Dupaigne, L.; Sire, Y. Regularity of radial extremal solutions for some non-local semilinear equations. Comm. Partial Differential Equations 36 (2011), no. 8, 1353-1384.
-
(2011)
Comm. Partial Differential Equations
, vol.36
, Issue.8
, pp. 1353-1384
-
-
Capella, A.1
Dávila, J.2
Dupaigne, L.3
Sire, Y.4
-
18
-
-
33644613818
-
Classification of solutions for an integral equation
-
no.
-
Chen, W.; Li, C.; Ou, B. Classification of solutions for an integral equation. Comm. Pure Appl. Math. 59 (2006), no. 3, 330-343.
-
(2006)
Comm. Pure Appl. Math.
, vol.59
, Issue.3
, pp. 330-343
-
-
Chen, W.1
Li, C.2
Ou, B.3
-
19
-
-
79955572327
-
Entropy solution theory for fractional degenerate convection-diffusion equations
-
no.
-
Cifani, S.; Jakobsen, E. R. Entropy solution theory for fractional degenerate convection-diffusion equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 3, 413-441.
-
(2011)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.28
, Issue.3
, pp. 413-441
-
-
Cifani, S.1
Jakobsen, E.R.2
-
20
-
-
84990556249
-
A simple one-dimensional model for the three-dimensional vorticity equation
-
no.
-
Constantin, P.; Lax, P. D.; Majda, A. A simple one-dimensional model for the three-dimensional vorticity equation. Comm. Pure Appl. Math. 38 (1985), no. 6, 715-724.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, Issue.6
, pp. 715-724
-
-
Constantin, P.1
Lax, P.D.2
Majda, A.3
-
21
-
-
33745899606
-
Formation of singularities for a transport equation with nonlocal velocity
-
no.
-
Córdoba, A.; Córdoba, D.; Fontelos, M. A. Formation of singularities for a transport equation with nonlocal velocity. Ann. of Math. (2) 162 (2005), no. 3, 1377-1389.
-
(2005)
Ann. of Math. (2)
, vol.162
, Issue.3
, pp. 1377-1389
-
-
Córdoba, A.1
Córdoba, D.2
Fontelos, M.A.3
-
22
-
-
0038053076
-
Sharp Sobolev type inequalities for higher fractional derivatives
-
no.
-
Cotsiolis, A.; Tavoularis, N. C. Sharp Sobolev type inequalities for higher fractional derivatives. C. R. Math. Acad. Sci. Paris 335 (2002), no. 10, 801-804.
-
(2002)
C. R. Math. Acad. Sci. Paris
, vol.335
, Issue.10
, pp. 801-804
-
-
Cotsiolis, A.1
Tavoularis, N.C.2
-
23
-
-
0000853180
-
An introduction to evolution governed by accretive operators
-
Academic Press, New York
-
Crandall, M. G. An introduction to evolution governed by accretive operators. In Dynamical systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974), Vol. I, 131-165. Academic Press, New York, 1976.
-
(1976)
Dynamical systems (Proc. Internat. Sympos., Brown Univ., Providence, R.I., 1974)
, vol.1
, pp. 131-165
-
-
Crandall, M.G.1
-
24
-
-
0000018252
-
Generation of semi-groups of nonlinear transformations on general Banach spaces
-
Crandall, M. G.; Liggett, T. M. Generation of semi-groups of nonlinear transformations on general Banach spaces. Amer. J. Math. 93 (1971), 265-298.
-
(1971)
Amer. J. Math.
, vol.93
, pp. 265-298
-
-
Crandall, M.G.1
Liggett, T.M.2
-
26
-
-
0013163910
-
Application of nonlinear semigroup theory to certain partial differential equations
-
Publications of the Mathematics Research Center, University of Wisconsin, 40. Academic Press, New York-London
-
Evans, L. C. Application of nonlinear semigroup theory to certain partial differential equations. In Nonlinear evolution equations (Proc. Sympos., Univ. Wisconsin, Madison, Wis., 1977), 163-188. Publications of the Mathematics Research Center, University of Wisconsin, 40. Academic Press, New York-London, 1978.
-
(1978)
Nonlinear evolution equations (Proc. Sympos., Univ. Wisconsin, Madison, Wis., 1977), 163-188
-
-
Evans, L.C.1
-
27
-
-
0003035995
-
The local regularity of solutions of degenerate elliptic equations
-
no.
-
Fabes, E. B.; Kenig, C. E.; Serapioni, R. P. The local regularity of solutions of degenerate elliptic equations. Comm. Partial Differential Equations 7 (1982), no. 1, 77-116.
-
(1982)
Comm. Partial Differential Equations
, vol.7
, Issue.1
, pp. 77-116
-
-
Fabes, E.B.1
Kenig, C.E.2
Serapioni, R.P.3
-
28
-
-
0001655260
-
Some properties of fractional integrals
-
no.
-
Hardy, G. H.; Littlewood, J. E. Some properties of fractional integrals. I. Math. Z. 27 (1928), no. 1, 565-606.
-
(1928)
I. Math. Z.
, vol.27
, Issue.1
, pp. 565-606
-
-
Hardy, G.H.1
Littlewood, J.E.2
-
29
-
-
84862760903
-
-
Hydrodynamic limit of particle systems with long jumps. Preprint. Available at: arXiv:0805.1326v2 [math.PR]
-
Jara, M. Hydrodynamic limit of particle systems with long jumps. Preprint. Available at: arXiv:0805.1326v2 [math.PR]
-
-
-
Jara, M.1
-
30
-
-
73949113905
-
Limit theorems for additive functionals of a Markov chain
-
no.
-
Jara, M.; Komorowski, T.; Olla, S. Limit theorems for additive functionals of a Markov chain. Ann. Appl. Probab. 19 (2009), no. 6, 2270-2300.
-
(2009)
Ann. Appl. Probab.
, vol.19
, Issue.6
, pp. 2270-2300
-
-
Jara, M.1
Komorowski, T.2
Olla, S.3
-
31
-
-
80053441899
-
Hölder estimates for singular non-local parabolic equations
-
no.
-
Kim, S.; Lee, K-A. Hölder estimates for singular non-local parabolic equations. J. Funct. Anal. 261 (2011), no. 12, 3482-3518.
-
(2011)
J. Funct. Anal.
, vol.261
, Issue.12
, pp. 3482-3518
-
-
Kim, S.1
Lee, K.-A.2
-
32
-
-
84862760904
-
-
Geometric property of the ground state eigenfunction for Cauchy process. Preprint. Available at: arXiv:1105.3283v1 [math.AP]
-
Kim, S.; Lee, K-A. Geometric property of the ground state eigenfunction for Cauchy process. Preprint. Available at: arXiv:1105.3283v1 [math.AP]
-
-
-
Kim, S.1
Lee, K.-A.2
-
33
-
-
33846785446
-
Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
-
no.
-
Kiselev, A.; Nazarov, F.; Volberg, A. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation. Invent. Math. 167 (2007), no. 3, 445-453.
-
(2007)
Invent. Math.
, vol.167
, Issue.3
, pp. 445-453
-
-
Kiselev, A.1
Nazarov, F.2
Volberg, A.3
-
34
-
-
0003643984
-
-
Die Grundlehren der mathematischen Wissenschaften, 180. Springer, New York-Heidelberg
-
Landkof, N. S. Foundations of modern potential theory. Die Grundlehren der mathematischen Wissenschaften, 180. Springer, New York-Heidelberg, 1972.
-
(1972)
Foundations of modern potential theory
-
-
Landkof, N.S.1
-
35
-
-
0000298073
-
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
-
no.
-
Lieb, E. H. Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann. of Math. (2) 118 (1983), no. 2, 349-374.
-
(1983)
Ann. of Math. (2)
, vol.118
, Issue.2
, pp. 349-374
-
-
Lieb, E.H.1
-
36
-
-
0003896053
-
-
Travaux et Recherches Mathmatiques, 17. Dunod, Paris
-
Lions, J. L.; Magènes, E. Problèmes aux limites non homogènes et applications. Vol. 1. Travaux et Recherches Mathmatiques, 17. Dunod, Paris, 1968.
-
(1968)
Problèmes aux limites non homogènes et applications
, vol.1
-
-
Lions, J.L.1
Magènes, E.2
-
37
-
-
0002404407
-
Some problems on Markov semigroups
-
Mathematical Topics, 11. Akademie Verlag, Berlin
-
Liskevich, V. A.; Semenov, Yu. A. Some problems on Markov semigroups. In Schrödinger operators, Markov semigroups, wavelet analysis, operator algebras, 163-217. Mathematical Topics, 11. Akademie Verlag, Berlin, 1996.
-
(1996)
Schrödinger operators, Markov semigroups, wavelet analysis, operator algebras
, pp. 163-217
-
-
Liskevich, V.A.1
Semenov, Y.A.2
-
38
-
-
0038902238
-
Further properties of a continuum of model equations with globally defined flux
-
no.
-
Morlet, A. C. Further properties of a continuum of model equations with globally defined flux. J. Math. Anal. Appl. 221 (1998), no. 1, 132-160.
-
(1998)
J. Math. Anal. Appl.
, vol.221
, Issue.1
, pp. 132-160
-
-
Morlet, A.C.1
-
39
-
-
0001217997
-
The Cauchy problem and boundary problems for equations of the type of non-stationary filtration
-
Oleǐnik, O. A.; Kalainkov, A. S.; ou, Y.-L. The Cauchy problem and boundary problems for equations of the type of non-stationary filtration. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 22 (1958), 667-704.
-
(1958)
(Russian) Izv. Akad. Nauk SSSR. Ser. Mat.
, vol.22
, pp. 667-704
-
-
Oleǐnik, O.A.1
Kalainkov, A.S.2
Ou, Y.-L.3
-
40
-
-
78149500835
-
A fractional porous medium equation
-
no.
-
de Pablo, A.; Quirós, F.; Rodrguez, A.; Vázquez, J. L. A fractional porous medium equation. Adv. Math. 226 (2011), no. 2, 1378-1409.
-
(2011)
Adv. Math.
, vol.226
, Issue.2
, pp. 1378-1409
-
-
de Pablo, A.1
Quirós, F.2
Rodrguez, A.3
Vázquez, J.L.4
-
41
-
-
84862760838
-
-
Classical solutions for a logarithmic fractional diffusion equation. Preprint. Available at: arXiv:1205.2223v1 [math.AP]
-
de Pablo, A.; Quirós, F.; Rodríguez, A.; Vázquez, J. L. Classical solutions for a logarithmic fractional diffusion equation. Preprint. Available at: arXiv:1205.2223v1 [math.AP]
-
-
-
de Pablo, A.1
Quirós, F.2
Rodríguez, A.3
Vázquez, J.L.4
-
42
-
-
33751514593
-
Regularity of the obstacle problem for a fractional power of the Laplace operator
-
no.
-
Silvestre, L. Regularity of the obstacle problem for a fractional power of the Laplace operator. Comm. Pure Appl. Math. 60 (2007), no. 1, 67-112.
-
(2007)
Comm. Pure Appl. Math.
, vol.60
, Issue.1
, pp. 67-112
-
-
Silvestre, L.1
-
43
-
-
0001916279
-
On a theorem of functional analysis
-
translation of Mat. Sb. 4 (1938), 471-497.
-
Sobolev, S. L. On a theorem of functional analysis. Transl. Amer. Math. Soc. (2) 34 (1963), 39-68; translation of Mat. Sb. 4 (1938), 471-497.
-
(1963)
Transl. Amer. Math. Soc. (2)
, vol.34
, pp. 39-68
-
-
Sobolev, S.L.1
-
44
-
-
77957945365
-
Extension problem and Harnack's inequality for some fractional operators
-
no.
-
Stinga, P. R.; Torrea, J. L. Extension problem and Harnack's inequality for some fractional operators. Comm. Partial Differential Equations 35 (2010), no. 11, 2092-2122.
-
(2010)
Comm. Partial Differential Equations
, vol.35
, Issue.11
, pp. 2092-2122
-
-
Stinga, P.R.1
Torrea, J.L.2
-
46
-
-
46549093732
-
Th. Hardy-Littlewood theory for semigroups
-
no.
-
Varopoulos, N. Th. Hardy-Littlewood theory for semigroups. J. Funct. Anal. 63 (1985), no. 2, 240-260.
-
(1985)
J. Funct. Anal.
, vol.63
, Issue.2
, pp. 240-260
-
-
Varopoulos, N.1
-
47
-
-
84894531156
-
-
Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, Oxford
-
Vázquez, J. L. The porous medium equation. Mathematical theory. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, Oxford, 2007.
-
(2007)
The porous medium equation. Mathematical theory
-
-
Vázquez, J.L.1
-
48
-
-
84880861203
-
-
Nonlinear diffusion with fractional Laplacian operators. In Nonlinear partial differential equations. The Abel Symposium 2010 271-298. Abel Symposia, 7. Berlin-Heidelberg, 2012. doi:10.1007/978-3-642-25361-4_15
-
Vázquez, J. L. Nonlinear diffusion with fractional Laplacian operators. In Nonlinear partial differential equations. The Abel Symposium 2010, pp. 271-298. Abel Symposia, 7. Berlin-Heidelberg, 2012. doi:10.1007/978-3-642-25361-4_15
-
-
-
Vázquez, J.L.1
|