-
1
-
-
0001445363
-
Local existence and regularity for a class of degenerate parabolic equations
-
S.B. ANGENENT, Local existence and regularity for a class of degenerate parabolic equations, Math. Ann. 280 (1988), 465-482.
-
(1988)
Math. Ann.
, vol.280
, pp. 465-482
-
-
Angenent, S.B.1
-
2
-
-
0002293879
-
The porous medium equation
-
Some problems of Nonlinear Diffusion, Springer-Verlag, New York
-
D.G. ARONSON, The Porous Medium Equation, Some problems of Nonlinear Diffusion, Lecture Notes in Mathematics 1224, Springer-Verlag, New York, 1986.
-
(1986)
Lecture Notes in Mathematics
, vol.1224
-
-
Aronson, D.G.1
-
4
-
-
84968481098
-
The initial trace of a solution of the porous medium equation
-
D. G. ARONSON & L. A. CAFFARELLI, The initial trace of a solution of the porous medium equation, Trans. A.M.S. 280 (1983), 351-366.
-
(1983)
Trans. A.M.S.
, vol.280
, pp. 351-366
-
-
Aronson, D.G.1
Caffarelli, L.A.2
-
5
-
-
0000139236
-
On self-similar motion of compressible fluids in porous media
-
(in Russian)
-
G. I. BARENBLATT, On self-similar motion of compressible fluids in porous media, Prikl. Mat. Mekh. 16 (1952), 679-698 (in Russian).
-
(1952)
Prikl. Mat. Mekh.
, vol.16
, pp. 679-698
-
-
Barenblatt, G.I.1
-
7
-
-
0010922364
-
Regularizing effects of homogeneous evolution equations
-
(D. N. CLARK et al., eds.), John Hopkins Univ. Press, Baltimore, Md.
-
P. BÉNILAN & M. G. CRANDALL, Regularizing effects of homogeneous evolution equations, Contribution to Analysis and Geometry (D. N. CLARK et al., eds.), John Hopkins Univ. Press, Baltimore, Md. (1981), 23-30.
-
(1981)
Contribution to Analysis and Geometry
, pp. 23-30
-
-
Bénilan, P.1
Crandall, M.G.2
-
10
-
-
0003466109
-
Le spectre d'une variété riemmanienne
-
Springer Verlag, Berlin
-
M. BERGER, P. GAUDUCHON & E. MAZET, Le Spectre d'Une Variété Riemmanienne, Lecture Notes in Mathematics 194, Springer Verlag, Berlin, 1970.
-
(1970)
Lecture Notes in Mathematics
, vol.194
-
-
Berger, M.1
Gauduchon, P.2
Mazet, E.3
-
11
-
-
0019242598
-
Stability of the separable solution for fast diffusion equation
-
J. G. BERRYMAN & C. J. HOLLAND, Stability of the separable solution for fast diffusion equation, Arch. Rational Mech. Anal. 74 (1980), 379-388.
-
(1980)
Arch. Rational Mech. Anal.
, vol.74
, pp. 379-388
-
-
Berryman, J.G.1
Holland, C.J.2
-
12
-
-
0001529369
-
Positivity properties of viscosity solutions of a degenerate parabolic equation
-
M. BERTSCH & M. UGHI, Positivity properties of viscosity solutions of a degenerate parabolic equation, Nonlinear Anal. T.M.A. 14 (1990), 571-592.
-
(1990)
Nonlinear Anal. T.M.A.
, vol.14
, pp. 571-592
-
-
Bertsch, M.1
Ughi, M.2
-
13
-
-
84966258166
-
Discontinuous viscosity solutions of a degenerate parabolic equation
-
M. BERTSCH, R. DAL PASSO & M. UGHI, Discontinuous viscosity solutions of a degenerate parabolic equation, Trans. A.M.S. 320 (1990), 779-798.
-
(1990)
Trans. A.M.S.
, vol.320
, pp. 779-798
-
-
Bertsch, M.1
Dal Passo, R.2
Ughi, M.3
-
14
-
-
0002554670
-
Nonuniqueness of solutions of a degenerate parabolic equation
-
M. BERTSCH, R. DAL PASSO & M. UGHI, Nonuniqueness of solutions of a degenerate parabolic equation, Annali Mat. Pura Appl. 161 (1992), 57-81.
-
(1992)
Annali Mat. Pura Appl.
, vol.161
, pp. 57-81
-
-
Bertsch, M.1
Dal Passo, R.2
Ughi, M.3
-
15
-
-
0000223517
-
The fast diffusion equation with absorption: The instantaneous shrinking phenomenon
-
M. BORELLI & M. UGHI, The fast diffusion equation with absorption: the instantaneous shrinking phenomenon, Rendiconti Ist. Mat. Trieste 26 (1994), 109-140.
-
(1994)
Rendiconti Ist. Mat. Trieste
, vol.26
, pp. 109-140
-
-
Borelli, M.1
Ughi, M.2
-
16
-
-
0002538991
-
Nonlinear parabolic equations involving measures as initial conditions
-
H. BREZIS & A. FRIEDMAN, Nonlinear parabolic equations involving measures as initial conditions, Jl. Math. Pures Appl. 62 (1983), 73-97.
-
(1983)
Jl. Math. Pures Appl.
, vol.62
, pp. 73-97
-
-
Brezis, H.1
Friedman, A.2
-
17
-
-
34250123028
-
A very singular solution of the heat equation with absorption
-
H. BREZIS, L.A. PELETIER & D. TERMAN, A very singular solution of the heat equation with absorption, Arch. Rational Mech. Anal. 99 (1986), 185-209.
-
(1986)
Arch. Rational Mech. Anal.
, vol.99
, pp. 185-209
-
-
Brezis, H.1
Peletier, L.A.2
Terman, D.3
-
19
-
-
0013035222
-
Viscosity solutions for the porous medium equation
-
honor of Profs. P. Lax and L. Nirenberg, M. GIAQUINTA et al. eds
-
L. A. CAFFARELLI & J. C. VÁZQUEZ, Viscosity solutions for the porous medium equation, Proc. Symposia in Pure Mathematics volume 65, in honor of Profs. P. Lax and L. Nirenberg, M. GIAQUINTA et al. eds, 1999, 13-26.
-
(1999)
Proc. Symposia in Pure Mathematics
, vol.65
, pp. 13-26
-
-
Caffarelli, L.A.1
Vázquez, J.C.2
-
20
-
-
0013023308
-
-
Thesis, Univ. Tours, France. December
-
E. CHASSEIGNE, Thesis, Univ. Tours, France. December 2000.
-
(2000)
-
-
Chasseigne, E.1
-
22
-
-
0013036270
-
Theory of weak and limit solutions for fast diffusion equations in optimal classes of data
-
Preprint UAM, submitted
-
E. CHASSEIGNE & J. L. VÁZQUEZ, Theory of Weak and Limit Solutions for Fast Diffusion Equations in Optimal Classes of Data. The Cauchy-Dirichlet Problem, Preprint UAM 2000, submitted.
-
(2000)
The Cauchy-Dirichlet Problem
-
-
Chasseigne, E.1
Vázquez, J.L.2
-
24
-
-
84968507121
-
Some properties of viscosity solutions of Hamilton-Jacobi equations
-
M. G. CRANDALL, L. C. EVANS & P. L. LIONS, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282 (1994), 487-502.
-
(1994)
Trans. Amer. Math. Soc.
, vol.282
, pp. 487-502
-
-
Crandall, M.G.1
Evans, L.C.2
Lions, P.L.3
-
25
-
-
84967708673
-
User's guide to viscosity solutions for second-order partial differential equations
-
M. G. CRANDALL, H. ISHII & P. L. LIONS, User's guide to viscosity solutions for second-order partial differential equations, Bull. Amer. Math. Soc. 27 (1992), 1-67.
-
(1992)
Bull. Amer. Math. Soc.
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.L.3
-
26
-
-
84967758647
-
Viscosity solutions of Hamilton-Jacobi equations
-
M. G. CRANDALL & P.L. LIONS, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1993), 1-42.
-
(1993)
Trans. Amer. Math. Soc.
, vol.277
, pp. 1-42
-
-
Crandall, M.G.1
Lions, P.L.2
-
27
-
-
84966221545
-
Weak solutions to the porous medium equation
-
B. E. J. DAHLBERG & C. KENIG, Weak solutions to the Porous Medium Equation, Trans. A.M.S. 336 (1993), 710-725.
-
(1993)
Trans. A.M.S.
, vol.336
, pp. 710-725
-
-
Dahlberg, B.E.J.1
Kenig, C.2
-
28
-
-
84968520176
-
Nonnegative solutions the of the initial-Dirichlet problem for generalized porous medium equation in cylinders
-
B. E. J. DAHLBERG & C. KENIG, Nonnegative solutions the of the initial-Dirichlet problem for generalized porous medium equation in cylinders, Jl. Amer. Math. Soc. 1 (1988), 401-412.
-
(1988)
Jl. Amer. Math. Soc.
, vol.1
, pp. 401-412
-
-
Dahlberg, B.E.J.1
Kenig, C.2
-
29
-
-
0001455432
-
Nonnegative solutions to fast diffusion equations
-
B. E. J. DAHLBERG & C. KENIG, Nonnegative solutions to fast diffusion equations, Rev. Mat. Iberoamericana 4 (1988), 11-29.
-
(1988)
Rev. Mat. Iberoamericana
, vol.4
, pp. 11-29
-
-
Dahlberg, B.E.J.1
Kenig, C.2
-
31
-
-
0003346795
-
Measure theory and fine properties of functions
-
CRC Press, Boca Raton, FL
-
L. C. EVANS & R. F. GARIEPY, Measure theory and fine properties of functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992.
-
(1992)
Studies in Advanced Mathematics
-
-
Evans, L.C.1
Gariepy, R.F.2
-
32
-
-
84968502599
-
The asymptotic behavior of a gas in an n-dimensional porous medium
-
A. FRIEDMAN & S. KAMIN, The asymptotic behavior of a gas in an n-dimensional porous medium, Trans. A.M.S. 262 (1980), 373-401.
-
(1980)
Trans. A.M.S.
, vol.262
, pp. 373-401
-
-
Friedman, A.1
Kamin, S.2
-
33
-
-
0001596614
-
On the asymptotic "eigen-functions" of the Cauchy problem for some nonlinear parabolic equation
-
(in Russian)
-
V. A. GALAKTIONOV, S. P. KURDYUMOV & A. A. SAMARSKII, On the asymptotic "eigen-functions" of the Cauchy problem for some nonlinear parabolic equation, Mat. Sb. 126 (1985), 435-472 (in Russian), English translation Mat. USSR Sbornik 54 (1986), 421-455.
-
(1985)
Mat. Sb.
, vol.126
, pp. 435-472
-
-
Galaktionov, V.A.1
Kurdyumov, S.P.2
Samarskii, A.A.3
-
34
-
-
84871172226
-
-
English translation
-
V. A. GALAKTIONOV, S. P. KURDYUMOV & A. A. SAMARSKII, On the asymptotic "eigen-functions" of the Cauchy problem for some nonlinear parabolic equation, Mat. Sb. 126 (1985), 435-472 (in Russian), English translation Mat. USSR Sbornik 54 (1986), 421-455.
-
(1986)
Mat. Ussr Sbornik
, vol.54
, pp. 421-455
-
-
-
35
-
-
0034345322
-
Asymptotics of the fast diffusion equation with critical exponent
-
V.A. GALAKTIONOV, L. A. PELETIER & J. L. VAZQUEZ, Asymptotics of the fast diffusion equation with critical exponent, SIAM J. Math. Anal. 31 (2000), 1157-1174.
-
(2000)
SIAM J. Math. Anal.
, vol.31
, pp. 1157-1174
-
-
Galaktionov, V.A.1
Peletier, L.A.2
Vazquez, J.L.3
-
37
-
-
0027392257
-
Self-similar behavior for the equation of fast nonlinear diffusion
-
J. R. KING, Self-similar behavior for the equation of fast nonlinear diffusion, Phil. Trans. Roy. Soc. London A 343 (1993), 337-375.
-
(1993)
Phil. Trans. Roy. Soc. London A
, vol.343
, pp. 337-375
-
-
King, J.R.1
-
38
-
-
0033426791
-
Initial trace of positive solutions of some nonlinear parabolic equations
-
M. MARCUS & L. VÉRON, Initial trace of positive solutions of some nonlinear parabolic equations, Comm. P.D.E. 24 (1999), 1445-1499.
-
(1999)
Comm. P.D.E.
, vol.24
, pp. 1445-1499
-
-
Marcus, M.1
Véron, L.2
-
39
-
-
0040249151
-
The boundary trace of positive solutions of semilinear elliptic equations: The subcritical case
-
M. MARCUS, L. VÉRON, The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case, Arch. Rational Mech. An. 144 (1998), 201-231.
-
(1998)
Arch. Rational Mech. An.
, vol.144
, pp. 201-231
-
-
Marcus, M.1
Véron, L.2
-
40
-
-
0032065325
-
The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
-
M. MARCUS & L. VÉRON, The boundary trace of positive solutions of semilinear elliptic equations: the supercritical case, J. Math. Pures Appl. 77 (1998), 481-524.
-
(1998)
J. Math. Pures Appl.
, vol.77
, pp. 481-524
-
-
Marcus, M.1
Véron, L.2
-
41
-
-
0000787062
-
Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations
-
M. MARCUS & L. VÉRON, Uniqueness and asymptotic behaviour of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (1997), 237-274.
-
(1997)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.14
, pp. 237-274
-
-
Marcus, M.1
Véron, L.2
-
42
-
-
0001197934
-
Self-similar solutions of fast diffusion equations that do not conserve mass
-
M. A. PELETIER & H. F. ZHANG, Self-similar solutions of fast diffusion equations that do not conserve mass, Diff. Int. Eq. 8 (1995), 2045-2064.
-
(1995)
Diff. Int. Eq.
, vol.8
, pp. 2045-2064
-
-
Peletier, M.A.1
Zhang, H.F.2
-
43
-
-
0001591024
-
Nonlinear fast diffusion with measures as data
-
M. PIERRE, Nonlinear fast diffusion with measures as data, Pitman Research Notes in Math. 149 (1987), 179-188.
-
(1987)
Pitman Research Notes in Math.
, vol.149
, pp. 179-188
-
-
Pierre, M.1
-
45
-
-
85129513537
-
Asymptotic behavior of the porous media equation in an exterior domain
-
F. QUIRÓS, J. L. VAZQUEZ, Asymptotic behavior of the porous media equation in an exterior domain, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 28 (1999), 183-227.
-
(1999)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.28
, Issue.4
, pp. 183-227
-
-
Quirós, F.1
Vazquez, J.L.2
-
46
-
-
0001420538
-
The maximal solution of the logarithmic fast diffusion equation in two space dimensions
-
A. RODRÍGUEZ, J. R. ESTEBAN & J. L. VAZQUEZ, The maximal solution of the logarithmic fast diffusion equation in two space dimensions, Advances Diff. Eqns. 2 (1997), 867-894.
-
(1997)
Advances Diff. Eqns.
, vol.2
, pp. 867-894
-
-
Rodríguez, A.1
Esteban, J.R.2
Vazquez, J.L.3
-
47
-
-
0012986713
-
Obstructions to existence in fast-diffusion equations
-
to appear. Preprint U.A.M.
-
A. RODRÍGUEZ, J. L. VAZQUEZ, Obstructions to existence in fast-diffusion equations, J. Diff. Eqns., to appear. Preprint U.A.M. (1999).
-
(1999)
J. Diff. Eqns.
-
-
Rodríguez, A.1
Vazquez, J.L.2
-
48
-
-
85012237075
-
Nonuniqueness of solutions of nonlinear heat equations of fast diffusion type
-
A. RODRÍGUEZ & J. L. VAZQUEZ, Nonuniqueness of solutions of nonlinear heat equations of fast diffusion type, Ann. Inst. H. Poincaré, Anal. non Linéaire 12 (1995), 173-200.
-
(1995)
Ann. Inst. H. Poincaré, Anal. Non Linéaire
, vol.12
, pp. 173-200
-
-
Rodríguez, A.1
Vazquez, J.L.2
-
49
-
-
0000280163
-
Nonexistence of solutions for nonlinear heat equations of fast-diffusion type
-
J. L. VAZQUEZ, Nonexistence of solutions for nonlinear heat equations of fast-diffusion type, Journal Math. Pures Appl. 71 (1992), 503-526.
-
(1992)
Journal Math. Pures Appl.
, vol.71
, pp. 503-526
-
-
Vazquez, J.L.1
-
51
-
-
84894293662
-
Darcy's Law and the theory of shrinking solutions of fast diffusion equations
-
Univ. of Texas at Austin
-
J. L. VAZQUEZ, Darcy's Law and the theory of shrinking solutions of fast diffusion equations, TICAM Report 01-18, Univ. of Texas at Austin, 2001.
-
(2001)
TICAM Report
, vol.1
, Issue.18
-
-
Vazquez, J.L.1
-
52
-
-
0012944937
-
Different kinds of singular solutions of nonlinear parabolic equations
-
(volume in honor of Ivar Stakgold on his 70th birthday), T.S. ANGELL et al. eds., SIAM, Philadelphia
-
J. L. VAZQUEZ & L. VÉRON, Different kinds of singular solutions of nonlinear parabolic equations, Nonlinear Problems in Applied Mathematics (volume in honor of Ivar Stakgold on his 70th birthday), T.S. ANGELL et al. eds., SIAM, Philadelphia, 1996, pp. 240-249.
-
(1996)
Nonlinear Problems in Applied Mathematics
, pp. 240-249
-
-
Vazquez, J.L.1
Véron, L.2
|