Strichartz estimates for dispersive equations and solvability of the Kawahara equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.09.049 ◽

2005 ◽

Vol 304 (2) ◽

pp. 683-702 ◽

Author(s):

Shangbin Cui ◽

Shuangpin Tao

Keyword(s):

Strichartz Estimates ◽

Dispersive Equations ◽

Kawahara Equation

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Strichartz Estimates and Applications to Semilinear Dispersive Equations

Grundlehren der mathematischen Wissenschaften - Fourier Analysis and Nonlinear Partial Differential Equations ◽

10.1007/978-3-642-16830-7_8 ◽

2011 ◽

pp. 335-387

Author(s):

Hajer Bahouri ◽

Jean-Yves Chemin ◽

Raphaël Danchin

Keyword(s):

Strichartz Estimates ◽

Dispersive Equations

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Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations

Journal d Analyse Mathématique ◽

10.1007/s11854-014-0025-6 ◽

2014 ◽

Vol 124 (1) ◽

pp. 1-38 ◽

Author(s):

Zihua Guo ◽

Yuzhao Wang

Keyword(s):

Wave Equations ◽

Strichartz Estimates ◽

Dispersive Equations ◽

Nonlinear Schrödinger ◽

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Strichartz estimates for linear dispersive equations

Harmonic Analysis Method for Nonlinear Evolution Equations, I ◽

10.1142/9789814360746_0003 ◽

2011 ◽

pp. 51-74

Keyword(s):

Strichartz Estimates ◽

Dispersive Equations

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Unconditional well-posedness for the Kawahara equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125282 ◽

2021 ◽

Vol 502 (2) ◽

pp. 125282

Author(s):

Dan-Andrei Geba ◽

Bai Lin

Keyword(s):

Well Posedness ◽

Kawahara Equation

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The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109021 ◽

2021 ◽

pp. 109021

Author(s):

Zdzisław Brzeźniak ◽

Wei Liu ◽

Jiahui Zhu

Keyword(s):

Nonlinear Schrödinger Equations ◽

Strichartz Estimates ◽

Lévy Noise ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

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Degenerate dispersive equations arising in the study of magma dynamics

Nonlinearity ◽

10.1088/0951-7715/20/1/003 ◽

2006 ◽

Vol 20 (1) ◽

pp. 21-49 ◽

Author(s):

G Simpson ◽

M Spiegelman ◽

M I Weinstein

Keyword(s):

Dispersive Equations ◽

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Strichartz estimates and local existence for the gravity–capillary waves with non-Lipschitz initial velocity

Journal of Differential Equations ◽

10.1016/j.jde.2016.03.011 ◽

2016 ◽

Vol 261 (1) ◽

pp. 396-438 ◽

Author(s):

Thibault de Poyferré ◽

Quang-Huy Nguyen

Keyword(s):

Initial Velocity ◽

Local Existence ◽

Capillary Waves ◽

Strichartz Estimates

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Nonlinear dispersive equations: classical and new frameworks

São Paulo Journal of Mathematical Sciences ◽

10.1007/s40863-020-00195-z ◽

2021 ◽

Author(s):

Jaime Angulo Pava

Keyword(s):

Dispersive Equations ◽

Nonlinear Dispersive Equations

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Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau–Kawahara equation

Mathematical Sciences ◽

10.1007/s40096-021-00413-5 ◽

2021 ◽

Author(s):

Sibel Özer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Solution ◽

Spline Collocation ◽

Kawahara Equation ◽

B Spline ◽

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Strichartz Estimates and Fourier Restriction Theorems on the Heisenberg Group

Journal of Fourier Analysis and Applications ◽

10.1007/s00041-021-09822-5 ◽

2021 ◽

Vol 27 (2) ◽

Author(s):

Hajer Bahouri ◽

Davide Barilari ◽

Isabelle Gallagher

Keyword(s):

Heisenberg Group ◽

Strichartz Estimates ◽

Fourier Restriction ◽

Restriction Theorems

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