-
1
-
-
0000174121
-
Acoustic scattering and the extended Korteweg-de Vries hierarchy
-
Beals R., Sattinger D., and Szmigielski J. Acoustic scattering and the extended Korteweg-de Vries hierarchy. Adv. Math. 140 (1998) 190-206
-
(1998)
Adv. Math.
, vol.140
, pp. 190-206
-
-
Beals, R.1
Sattinger, D.2
Szmigielski, J.3
-
3
-
-
0009303159
-
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations II: The KdV equation
-
Bourgain J. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations II: The KdV equation. Geom. Funct. Anal. 3 (1993) 209-262
-
(1993)
Geom. Funct. Anal.
, vol.3
, pp. 209-262
-
-
Bourgain, J.1
-
4
-
-
33846878957
-
Global conservative solutions of the Camassa-Holm equation
-
Bressan A., and Constantin A. Global conservative solutions of the Camassa-Holm equation. Arch. Ration. Mech. Anal. 183 (2007) 215-239
-
(2007)
Arch. Ration. Mech. Anal.
, vol.183
, pp. 215-239
-
-
Bressan, A.1
Constantin, A.2
-
5
-
-
12044254491
-
An integrable shallow water equation with peaked solitons
-
Camassa R., and Holm D. An integrable shallow water equation with peaked solitons. Phys. Rev. Lett. 71 (1993) 1661-1664
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 1661-1664
-
-
Camassa, R.1
Holm, D.2
-
6
-
-
0000684999
-
On the inverse spectral problem for the Camassa-Holm equation
-
Constantin A. On the inverse spectral problem for the Camassa-Holm equation. J. Funct. Anal. 155 (1998) 352-363
-
(1998)
J. Funct. Anal.
, vol.155
, pp. 352-363
-
-
Constantin, A.1
-
7
-
-
0034415062
-
Existence of permanent and breaking waves for a shallow water equation: A geometric approach
-
Constantin A. Existence of permanent and breaking waves for a shallow water equation: A geometric approach. Ann. Inst. Fourier (Grenoble) 50 2 (2000) 321-362
-
(2000)
Ann. Inst. Fourier (Grenoble)
, vol.50
, Issue.2
, pp. 321-362
-
-
Constantin, A.1
-
8
-
-
34447130573
-
On the scattering problem for the Camassa-Holm equation
-
Constantin A. On the scattering problem for the Camassa-Holm equation. Proc. Roy. Soc. London Ser. A 457 (2001) 953-970
-
(2001)
Proc. Roy. Soc. London Ser. A
, vol.457
, pp. 953-970
-
-
Constantin, A.1
-
9
-
-
17044434265
-
Finite propagation speed for the Camassa-Holm equation
-
023506, 4 pp
-
Constantin A. Finite propagation speed for the Camassa-Holm equation. J. Math. Phys. 46 (2005) 023506, 4 pp
-
(2005)
J. Math. Phys.
, vol.46
-
-
Constantin, A.1
-
10
-
-
0032374820
-
Well-posedness, global existence and blow-up phenomena for a periodic quasi-linear hyperbolic equation
-
Constantin A., and Escher J. Well-posedness, global existence and blow-up phenomena for a periodic quasi-linear hyperbolic equation. Comm. Pure Appl. Math. 51 (1998) 475-504
-
(1998)
Comm. Pure Appl. Math.
, vol.51
, pp. 475-504
-
-
Constantin, A.1
Escher, J.2
-
11
-
-
0000985293
-
Wave breaking for nonlinear nonlocal shallow water equations
-
Constantin A., and Escher J. Wave breaking for nonlinear nonlocal shallow water equations. Acta Math. 181 (1998) 229-243
-
(1998)
Acta Math.
, vol.181
, pp. 229-243
-
-
Constantin, A.1
Escher, J.2
-
12
-
-
0034347295
-
On the blow-up rate and blow-up set of breaking waves for a shallow water equation
-
Constantin A., and Escher J. On the blow-up rate and blow-up set of breaking waves for a shallow water equation. Math. Z. 233 (2000) 75-91
-
(2000)
Math. Z.
, vol.233
, pp. 75-91
-
-
Constantin, A.1
Escher, J.2
-
13
-
-
0042279206
-
On the geometric approach to the motion of inertial mechanical systems
-
Constantin A., and Kolev B. On the geometric approach to the motion of inertial mechanical systems. J. Phys. A 35 32 (2002) R51-R79
-
(2002)
J. Phys. A
, vol.35
, Issue.32
-
-
Constantin, A.1
Kolev, B.2
-
14
-
-
0242350978
-
Geodesic flow on the diffeomorphism group of the circle
-
Constantin A., and Kolev B. Geodesic flow on the diffeomorphism group of the circle. Comment. Math. Helv. 78 4 (2003) 787-804
-
(2003)
Comment. Math. Helv.
, vol.78
, Issue.4
, pp. 787-804
-
-
Constantin, A.1
Kolev, B.2
-
16
-
-
0034349440
-
Global weak solutions for a shallow water equation
-
Constantin A., and Molinet L. Global weak solutions for a shallow water equation. Comm. Math. Phys. 211 1 (2000) 45-61
-
(2000)
Comm. Math. Phys.
, vol.211
, Issue.1
, pp. 45-61
-
-
Constantin, A.1
Molinet, L.2
-
18
-
-
0000380413
-
Stability of the Camassa-Holm solitons
-
Constantin A., and Strauss W. Stability of the Camassa-Holm solitons. J. Nonlinear Sci. 12 (2002) 415-422
-
(2002)
J. Nonlinear Sci.
, vol.12
, pp. 415-422
-
-
Constantin, A.1
Strauss, W.2
-
19
-
-
33846053142
-
Inverse scattering transform for the Camassa-Holm equation
-
Constantin A., Gerdjikov V., and Ivanov R. Inverse scattering transform for the Camassa-Holm equation. Inverse Problems 22 (2006) 2197-2207
-
(2006)
Inverse Problems
, vol.22
, pp. 2197-2207
-
-
Constantin, A.1
Gerdjikov, V.2
Ivanov, R.3
-
21
-
-
40749103220
-
An integrable shallow water equation with linear and nonlinear dispersion
-
Dullin H., Gottwald G., and Holm D. An integrable shallow water equation with linear and nonlinear dispersion. Phys. Rev. Lett. 87 (2001) 1945-1948
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 1945-1948
-
-
Dullin, H.1
Gottwald, G.2
Holm, D.3
-
22
-
-
33847632920
-
Persistence properties and unique continuation of solutions of the Camassa-Holm equation
-
Himonas A., Misiołek G., Ponce G., and Zhou Y. Persistence properties and unique continuation of solutions of the Camassa-Holm equation. Comm. Math. Phys. 271 (2007) 511-522
-
(2007)
Comm. Math. Phys.
, vol.271
, pp. 511-522
-
-
Himonas, A.1
Misiołek, G.2
Ponce, G.3
Zhou, Y.4
-
23
-
-
0037171407
-
Camassa-Holm, Korteweg-de Vries and related models for water waves
-
Johnson R.S. Camassa-Holm, Korteweg-de Vries and related models for water waves. J. Fluid Mech. 455 (2002) 63-82
-
(2002)
J. Fluid Mech.
, vol.455
, pp. 63-82
-
-
Johnson, R.S.1
-
24
-
-
0003123140
-
Quasi-linear equations of evolution, with applications to partial differential equations
-
Spectral Theory and Differential Equations, Proc. Sympos. dedicated to Konrad Jorgens. Dundee, 1974, Springer, Berlin
-
Kato T. Quasi-linear equations of evolution, with applications to partial differential equations. Spectral Theory and Differential Equations, Proc. Sympos. dedicated to Konrad Jorgens. Dundee, 1974. Lecture Notes in Math. vol. 448 (1975), Springer, Berlin 25-70
-
(1975)
Lecture Notes in Math.
, vol.448
, pp. 25-70
-
-
Kato, T.1
-
25
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
Kenig C., Ponce G., and Vega L. Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Comm. Pure Appl. Math. 46 (1993) 527-620
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 527-620
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
26
-
-
0034688728
-
Well-posedness and blow-up solutions for an integrable nonlinear dispersive model wave equation
-
Li Y., and Olver P. Well-posedness and blow-up solutions for an integrable nonlinear dispersive model wave equation. J. Differential Equations 162 (2000) 27-63
-
(2000)
J. Differential Equations
, vol.162
, pp. 27-63
-
-
Li, Y.1
Olver, P.2
-
27
-
-
33744819468
-
Global existence and blow-up solutions for a nonlinear shallow water equation
-
Liu Y. Global existence and blow-up solutions for a nonlinear shallow water equation. Math. Ann. 335 3 (2006) 717-735
-
(2006)
Math. Ann.
, vol.335
, Issue.3
, pp. 717-735
-
-
Liu, Y.1
-
28
-
-
0001472433
-
Breakdown of a shallow water equation
-
McKean H.P. Breakdown of a shallow water equation. Asian J. Math. 2 4 (1998) 867-874
-
(1998)
Asian J. Math.
, vol.2
, Issue.4
, pp. 867-874
-
-
McKean, H.P.1
-
29
-
-
0036436154
-
Classical solutions of the periodic Camassa-Holm equation
-
Misiołek G. Classical solutions of the periodic Camassa-Holm equation. Geom. Funct. Anal. 12 5 (2002) 1080-1104
-
(2002)
Geom. Funct. Anal.
, vol.12
, Issue.5
, pp. 1080-1104
-
-
Misiołek, G.1
-
30
-
-
10044263161
-
On well-posedness results for Camassa-Holm equation on the line: A survey
-
Molinet L. On well-posedness results for Camassa-Holm equation on the line: A survey. J. Nonlin. Math. Phys. 11 4 (2004) 521-533
-
(2004)
J. Nonlin. Math. Phys.
, vol.11
, Issue.4
, pp. 521-533
-
-
Molinet, L.1
-
31
-
-
0037906126
-
A note on the breaking of waves
-
Seliger R. A note on the breaking of waves. Proc. Roy. Soc. London Ser. A 303 (1968) 493-496
-
(1968)
Proc. Roy. Soc. London Ser. A
, vol.303
, pp. 493-496
-
-
Seliger, R.1
-
32
-
-
0002936313
-
1 metric and mean hydrodynamics
-
1 metric and mean hydrodynamics. J. Funct. Anal. 160 1 (1998) 337-365
-
(1998)
J. Funct. Anal.
, vol.160
, Issue.1
, pp. 337-365
-
-
Shkoller, S.1
-
33
-
-
84859630809
-
Variational Methods. Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
-
Springer-Verlag, Berlin
-
Struwe M. Variational Methods. Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Ergeb. Math. Grenzgeb. (3). second ed. vol. 34 (1996), Springer-Verlag, Berlin
-
(1996)
Ergeb. Math. Grenzgeb. (3). second ed.
, vol.34
-
-
Struwe, M.1
-
34
-
-
33748572115
-
Low-regularity global solutions to nonlinear dispersive equations
-
Surveys in Analysis and Operator Theory. Canberra, 2001, Austral. Nat. Univ., Canberra
-
Tao T. Low-regularity global solutions to nonlinear dispersive equations. Surveys in Analysis and Operator Theory. Canberra, 2001. Proc. Centre Math. Appl. Austral. Nat. Univ. vol. 40 (2002), Austral. Nat. Univ., Canberra 19-48
-
(2002)
Proc. Centre Math. Appl. Austral. Nat. Univ.
, vol.40
, pp. 19-48
-
-
Tao, T.1
-
35
-
-
21344447273
-
On the Cauchy problem and the scattering problem for the Dullin-Gottwald-Holm equation
-
Tian L., Gui G., and Liu Y. On the Cauchy problem and the scattering problem for the Dullin-Gottwald-Holm equation. Comm. Math. Phys. 257 3 (2005) 667-701
-
(2005)
Comm. Math. Phys.
, vol.257
, Issue.3
, pp. 667-701
-
-
Tian, L.1
Gui, G.2
Liu, Y.3
-
36
-
-
0034394008
-
On the weak solution to a shallow water equation
-
Xin Z., and Zhang P. On the weak solution to a shallow water equation. Comm. Pure Appl. Math. 53 (2000) 1411-1433
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 1411-1433
-
-
Xin, Z.1
Zhang, P.2
-
37
-
-
11944265069
-
Global existence and blow-up for a periodic integrable shallow water equation with linear and nonlinear dispersion
-
Yin Z. Global existence and blow-up for a periodic integrable shallow water equation with linear and nonlinear dispersion. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 12 1 (2005) 87-101
-
(2005)
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.
, vol.12
, Issue.1
, pp. 87-101
-
-
Yin, Z.1
-
38
-
-
1342306310
-
Wave breaking for a periodic shallow water equation
-
Zhou Y. Wave breaking for a periodic shallow water equation. J. Math. Anal. Appl. 290 (2004) 591-604
-
(2004)
J. Math. Anal. Appl.
, vol.290
, pp. 591-604
-
-
Zhou, Y.1
-
39
-
-
2042468818
-
Wave breaking for a shallow water equation
-
Zhou Y. Wave breaking for a shallow water equation. Nonlinear Anal. 57 1 (2004) 137-152
-
(2004)
Nonlinear Anal.
, vol.57
, Issue.1
, pp. 137-152
-
-
Zhou, Y.1
-
40
-
-
30344445708
-
Blow-up of solutions to a nonlinear dispersive rod equation
-
Zhou Y. Blow-up of solutions to a nonlinear dispersive rod equation. Calc. Var. Partial Differential Equations 25 1 (2006) 63-77
-
(2006)
Calc. Var. Partial Differential Equations
, vol.25
, Issue.1
, pp. 63-77
-
-
Zhou, Y.1
|