-
1
-
-
84972568795
-
Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
-
J. L. BONA AND L. R. SCOTT, Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces, Duke Math. J., 43 (1976), pp. 87-99.
-
(1976)
Duke Math. J
, vol.43
, pp. 87-99
-
-
BONA, J.L.1
SCOTT, L.R.2
-
2
-
-
0001119719
-
The initial-value problem for the Korteweg-de Vries equation
-
J. L. BONA AND R. SMITH, The initial-value problem for the Korteweg-de Vries equation, Philos. Trans. Roy. Soc. London Ser. A, 278 (1975), pp. 555-601.
-
(1975)
Philos. Trans. Roy. Soc. London Ser. A
, vol.278
, pp. 555-601
-
-
BONA, J.L.1
SMITH, R.2
-
3
-
-
0035981911
-
A non-homogeneous boundary-value problem for the Korteweg-de Vries Equation in a quarter plane
-
J. L. BONA, S. M. SUN, AND B.-Y. ZHANG, A non-homogeneous boundary-value problem for the Korteweg-de Vries Equation in a quarter plane, Trans. Amer. Math. Soc., 354 (2001), pp. 427-490.
-
(2001)
Trans. Amer. Math. Soc
, vol.354
, pp. 427-490
-
-
BONA, J.L.1
SUN, S.M.2
ZHANG, B.-Y.3
-
4
-
-
0141596147
-
A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain
-
J. L. BONA, S. M. SUN, AND B.-Y. ZHANG, A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain, Comm. Partial Differential Equations, 28 (2003), pp. 1391-1436.
-
(2003)
Comm. Partial Differential Equations
, vol.28
, pp. 1391-1436
-
-
BONA, J.L.1
SUN, S.M.2
ZHANG, B.-Y.3
-
5
-
-
34250084341
-
Fourier transform restriction phenomena for certain lattice subsets and applications to non-linear evolution equations, part I: Schrödinger equations
-
J. BOURGAIN, Fourier transform restriction phenomena for certain lattice subsets and applications to non-linear evolution equations, part I: Schrödinger equations, Geom. Funct. Anal., 3 (1993), pp. 107-156.
-
(1993)
Geom. Funct. Anal
, vol.3
, pp. 107-156
-
-
BOURGAIN, J.1
-
6
-
-
0009303159
-
Fourier transform restriction phenomena for certain lattice subsets and applications to non-linear evolution equations, part II: The KdV equation
-
J. BOURGAIN, Fourier transform restriction phenomena for certain lattice subsets and applications to non-linear evolution equations, part II: the KdV equation, Geom. Funct. Anal., 3 (1993), pp. 209-262.
-
(1993)
Geom. Funct. Anal
, vol.3
, pp. 209-262
-
-
BOURGAIN, J.1
-
7
-
-
0141672894
-
Generalized boundary value problems for the Korteweg-de Vries equation in bounded domain
-
B. A. BUBNOV, Generalized boundary value problems for the Korteweg-de Vries equation in bounded domain, Differential Equations, 15 (1979), pp. 17-21.
-
(1979)
Differential Equations
, vol.15
, pp. 17-21
-
-
BUBNOV, B.A.1
-
8
-
-
0005143666
-
Solvability in the large of nonlinear boundary-value problems for the Kortewegde Vries equations
-
B. A. BUBNOV, Solvability in the large of nonlinear boundary-value problems for the Kortewegde Vries equations, Differential Equations, 16 (1980), pp. 24-30.
-
(1980)
Differential Equations
, vol.16
, pp. 24-30
-
-
BUBNOV, B.A.1
-
9
-
-
0012499847
-
An initial-boundary-value problem for the Korteweg-de Vries equation posed on a finite interval
-
T. COLIN AND J.-M. GHIDAGLIA, An initial-boundary-value problem for the Korteweg-de Vries equation posed on a finite interval, Adv. Differential Equations, 6 (2001), pp. 1463-1492.
-
(2001)
Adv. Differential Equations
, vol.6
, pp. 1463-1492
-
-
COLIN, T.1
GHIDAGLIA, J.-M.2
-
10
-
-
0038806261
-
Sharp global well-posedness for KdV and modified KdV on R and T
-
J. COLLIANDER, M. KEEL, G. STAFFILANI, H. TAKAOKA, AND T. TAO, Sharp global well-posedness for KdV and modified KdV on R and T, J. Amer. Math. Soc., 16 (2003), pp. 705-749.
-
(2003)
J. Amer. Math. Soc
, vol.16
, pp. 705-749
-
-
COLLIANDER, J.1
KEEL, M.2
STAFFILANI, G.3
TAKAOKA, H.4
TAO, T.5
-
11
-
-
10844262878
-
On an initial boundary value problem in a bounded domain for the generalized Korteweg-de Vries equation
-
A. V. FAMINSKII, On an initial boundary value problem in a bounded domain for the generalized Korteweg-de Vries equation, Funct. Differ. Equ., 8 (2001), pp. 183-194.
-
(2001)
Funct. Differ. Equ
, vol.8
, pp. 183-194
-
-
FAMINSKII, A.V.1
-
12
-
-
22944437907
-
-
Preprint 12-2003, Universität Zürich, Zürich, Switzerland
-
-1(T, R), Preprint 12-2003, Universität Zürich, Zürich, Switzerland.
-
-1(T, R)
-
-
KAPPELER, T.1
TOPALOV, P.2
-
13
-
-
0003123140
-
Quasilinear equations of evolution, with applications to partial differential equations
-
Spectral Theory and Differential Equations, Springer-Verlag, Berlin
-
T. KATO, Quasilinear equations of evolution, with applications to partial differential equations, in Spectral Theory and Differential Equations, Lecture Notes in Math. 448, Springer-Verlag, Berlin, 1975, pp. 27-50.
-
(1975)
Lecture Notes in Math
, vol.448
, pp. 27-50
-
-
KATO, T.1
-
14
-
-
0002362134
-
On the Korteweg-de Vries equation
-
T. KATO, On the Korteweg-de Vries equation, Manuscripta Math., 29 (1979), pp. 89-99.
-
(1979)
Manuscripta Math
, vol.29
, pp. 89-99
-
-
KATO, T.1
-
15
-
-
0002362136
-
On the Cauchy problem for the (generalized) Korteweg-de Vries equations
-
Stud. Appl. Math. 8, Academic Press, New York
-
T. KATO, On the Cauchy problem for the (generalized) Korteweg-de Vries equations, Stud. Appl. Math. 8, in Studies in Applied Mathematics, Academic Press, New York, 1983, pp. 93-128.
-
(1983)
Studies in Applied Mathematics
, pp. 93-128
-
-
KATO, T.1
-
16
-
-
0030528276
-
A bilinear estimate with applications to the KdV equation
-
C. E. KENIG, G. PONCE, AND L. VEGA, A bilinear estimate with applications to the KdV equation, J. Amer. Math. Soc., 9 (1996), pp. 573-603.
-
(1996)
J. Amer. Math. Soc
, vol.9
, pp. 573-603
-
-
KENIG, C.E.1
PONCE, G.2
VEGA, L.3
-
17
-
-
0001464809
-
Stabilization de l'équation de Korteweg-de Vries
-
V. KOMORNIK, D. L. RUSSELL, AND B.-Y. ZHANG, Stabilization de l'équation de Korteweg-de Vries, C. R. Acad. Sci. Paris Sér. I Math., 312 (1991), pp. 841-843.
-
(1991)
C. R. Acad. Sci. Paris Sér. I Math
, vol.312
, pp. 841-843
-
-
KOMORNIK, V.1
RUSSELL, D.L.2
ZHANG, B.-Y.3
-
18
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
-
D. J. KORTEWEG AND G. DE VRIES, On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves, Philos. Mag., 39 (1895), pp. 422-443.
-
(1895)
Philos. Mag
, vol.39
, pp. 422-443
-
-
KORTEWEG, D.J.1
DE VRIES, G.2
-
19
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
P. D. LAX, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math., 21 (1968), pp. 467-490.
-
(1968)
Comm. Pure Appl. Math
, vol.21
, pp. 467-490
-
-
LAX, P.D.1
-
21
-
-
0016973738
-
The Korteweg-de Vries equation: A survey of results
-
R. M. MIURA, The Korteweg-de Vries equation: A survey of results, SIAM Rev., 18 (1976), pp. 412-459.
-
(1976)
SIAM Rev
, vol.18
, pp. 412-459
-
-
MIURA, R.M.1
-
23
-
-
0003686033
-
-
Appl. Math. Sci. 44, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo
-
A. PAZY, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci. 44, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983.
-
(1983)
Semigroups of Linear Operators and Applications to Partial Differential Equations
-
-
PAZY, A.1
-
24
-
-
0036492457
-
Stabilization of the Korteweg-de Vries equation with localized damping
-
G. PERLA MENZALA, C. F. VASCONCELLOS, AND E. ZUAZUA, Stabilization of the Korteweg-de Vries equation with localized damping, Quart. Appl. Math., 60 (2002), pp. 111-129.
-
(2002)
Quart. Appl. Math
, vol.60
, pp. 111-129
-
-
PERLA MENZALA, G.1
VASCONCELLOS, C.F.2
ZUAZUA, E.3
-
25
-
-
84996141528
-
Exact boundary controllability for the Korteweg-de Vries equation
-
L. ROSIER, Exact boundary controllability for the Korteweg-de Vries equation, ESAIM Control Optim. Calc. Var., 2 (1997), pp. 33-55.
-
(1997)
ESAIM Control Optim. Calc. Var
, vol.2
, pp. 33-55
-
-
ROSIER, L.1
-
26
-
-
0034455126
-
Exact boundary controllability for the linear Korteweg-de Vries equation on the half-line
-
L. ROSIER, Exact boundary controllability for the linear Korteweg-de Vries equation on the half-line, SIAM J. Control Optim., 39 (2000), pp. 331-351.
-
(2000)
SIAM J. Control Optim
, vol.39
, pp. 331-351
-
-
ROSIER, L.1
-
27
-
-
12844278699
-
Control of the surface of a fluid by a wavemaker
-
L. ROSIER, Control of the surface of a fluid by a wavemaker, ESAIM Control Optim. Cal. Var., 10 (2004), pp. 346-380.
-
(2004)
ESAIM Control Optim. Cal. Var
, vol.10
, pp. 346-380
-
-
ROSIER, L.1
-
28
-
-
0000820706
-
Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions
-
D. L. RUSSELL, Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions, SIAM Rev., 20 (1978), pp. 639-739.
-
(1978)
SIAM Rev
, vol.20
, pp. 639-739
-
-
RUSSELL, D.L.1
-
29
-
-
0027594486
-
Controllability and stabilizability of the third-order linear dispersion equation on a periodic domain
-
D. L. RUSSELL AND B.-Y. ZHANG, Controllability and stabilizability of the third-order linear dispersion equation on a periodic domain, SIAM J. Control Optim., 31 (1993), pp. 659-676.
-
(1993)
SIAM J. Control Optim
, vol.31
, pp. 659-676
-
-
RUSSELL, D.L.1
ZHANG, B.-Y.2
-
30
-
-
0000140289
-
Smoothing properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
-
D. L. RUSSELL AND B.-Y. ZHANG, Smoothing properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation, J. Math. Anal. Appl., 190 (1995), pp. 449-488.
-
(1995)
J. Math. Anal. Appl
, vol.190
, pp. 449-488
-
-
RUSSELL, D.L.1
ZHANG, B.-Y.2
-
31
-
-
21444446596
-
Exact controllability and stabilizability of the Korteweg-de Vries equation
-
D. L. RUSSELL AND B.-Y. ZHANG, Exact controllability and stabilizability of the Korteweg-de Vries equation, Trans. Amer. Math. Soc., 348 (1996), pp. 3643-3672.
-
(1996)
Trans. Amer. Math. Soc
, vol.348
, pp. 3643-3672
-
-
RUSSELL, D.L.1
ZHANG, B.-Y.2
-
32
-
-
0000523343
-
Unique continuation for some evolution equations
-
J. C. SAUT AND B. SCHEURER, Unique continuation for some evolution equations, J. Differential Equations, 66 (1987), pp. 118-139.
-
(1987)
J. Differential Equations
, vol.66
, pp. 118-139
-
-
SAUT, J.C.1
SCHEURER, B.2
-
34
-
-
0030150190
-
The Korteweg-de Vries equation on a periodic domain with singular-point dissipation
-
S. M. SUN, The Korteweg-de Vries equation on a periodic domain with singular-point dissipation, SIAM J. Control Optim., 34 (1996), pp. 892-912.
-
(1996)
SIAM J. Control Optim
, vol.34
, pp. 892-912
-
-
SUN, S.M.1
-
35
-
-
0000764139
-
Interpolation non linéaire et régularité
-
L. TARTAR, Interpolation non linéaire et régularité, J. Funct. Anal., 9 (1972), pp. 469-489.
-
(1972)
J. Funct. Anal
, vol.9
, pp. 469-489
-
-
TARTAR, L.1
-
37
-
-
0005748256
-
Unique continuation for the Korteweg-de Vries equation
-
B.-Y. ZHANG, Unique continuation for the Korteweg-de Vries equation, SIAM J. Math. Anal., 23 (1992), pp. 55-71.
-
(1992)
SIAM J. Math. Anal
, vol.23
, pp. 55-71
-
-
ZHANG, B.-Y.1
-
38
-
-
0005151187
-
Boundary stabilization of the Korteweg-de Vries equation, in Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena, Internat
-
Birkhauser, Basel
-
B.-Y. ZHANG, Boundary stabilization of the Korteweg-de Vries equation, in Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena, Internat. Ser. Numer. Math. 118, Birkhauser, Basel, 1994, pp. 371-389.
-
(1994)
Ser. Numer. Math
, vol.118
, pp. 371-389
-
-
ZHANG, B.-Y.1
-
39
-
-
0042625574
-
Analyticity of solutions for the generalized Korteweg-de Vries equation with respect to their initial values
-
B.-Y. ZHANG, Analyticity of solutions for the generalized Korteweg-de Vries equation with respect to their initial values, SIAM J. Math. Anal., 26 (1995), pp. 1488-1513.
-
(1995)
SIAM J. Math. Anal
, vol.26
, pp. 1488-1513
-
-
ZHANG, B.-Y.1
-
40
-
-
0032201986
-
Exact boundary controllability of the Korteweg-de Vries equation
-
B.-Y. ZHANG, Exact boundary controllability of the Korteweg-de Vries equation, SIAM J. Control Optim., 37 (1999), pp. 543-565.
-
(1999)
SIAM J. Control Optim
, vol.37
, pp. 543-565
-
-
ZHANG, B.-Y.1
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