Regularity of solutions to nonlinear dispersive equations

DOI10.1016/0022-0396(89)90078-8zbMath0699.35036OpenAlexW1964379900MaRDI QIDQ913089

Gustavo Ponce

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90078-8

zbMATH Keywords

regularityequationgeneralized Korteweg-de Vries equationnonlinear dispersive equationsnonlinear Schrödingerdecay assumptions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Kawahara-Burgers equation on a strip, Time decay of solutions of semilinear strongly damped generalized wave equations, Dispersive smoothing effects for KdV type equations, Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations, Smoothing properties for a two-dimensional Kawahara equation, Well-posedness for a higher-order Benjamin-Ono equation, Local smoothing effects for a nonlinear Timoshenko type equation, Unnamed Item, Microlocal dispersive smoothing for the Schrödinger equation, Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation, Dilation method and smoothing effects of solutions to the Benjamin–Ono equation, Linear dispersive equations of Airy type, Space-time behavior of propagators for Schrödinger evolution equations with Stark effect, Gain of regularity for the KP-I equation, On the Cauchy problem for higher-order nonlinear dispersive equations, Gain of regularity for equations of KdV type, Smoothing properties for a coupled system of nonlinear evolution dispersive equations, Smoothing properties for systems of nonlinear Schrödinger equations, Smoothing properties of nonlinear dispersive equations in two spatial dimensions, Smoothing properties for the higher-order nonlinear Schrödinger equation with constant coefficients, Analytic smoothing estimates for the Korteweg–de Vries equation with steplike data, Large time asymptotics of solutions to the generalized Benjamin-Ono equation

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