On the Nature of Initial-Boundary Value Solutions for Dispersive Equations

DOI10.1137/S0036139902415853zbMath1053.35017MaRDI QIDQ4441881

Bengt Fornberg, Natasha Flyer

Publication date: 8 January 2004

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

corner singularitiescompatibility conditionslinear Schrödinger equationdispersive equationslinearized KdV equationcorner basis functionsIBV solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Boundary value problems for linear higher-order PDEs (35G15) Singularity in context of PDEs (35A21)

Related Items (8)

A penalty method for numerically handling dispersive equations with incompatible initial and boundary data ⋮ Gibbs Phenomenon for Dispersive PDEs on the Line ⋮ Analysis of mixed elliptic and parabolic boundary layers with corners ⋮ Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms ⋮ Treatment of incompatible initial and boundary data for parabolic equations in higher dimension ⋮ Evolution partial differential equations with discontinuous data ⋮ Recent progresses in boundary layer theory

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