Piecewise continuous solutions of nonlinear pseudoparabolic equations in two space dimensions*

DOI10.1017/S0308210500027864zbMath0769.35034OpenAlexW2093060001MaRDI QIDQ4030476

Dao-Qing Dai, Wei Lin

Publication date: 1 April 1993

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027864

zbMATH Keywords

Newton's methodembeddingsuccessive approximationrelated linear problemRiemann type boundary conditions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Approximation in the complex plane (30E10) Initial value problems for second-order parabolic equations (35K15) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (6)

Nonlocal boundary problems for a third-order one-dimensional nonlinear pseudoparabolic equation ⋮ A moment problem for one-dimensional nonlinear pseudoparabolic equation ⋮ The Riemann-Hilbert boundary value problem for semilinear pseudoparabolic equations ⋮ On continuous solutions of a generalized Cauchy-Riemann system with more than one singularity. ⋮ Spatial Riemann problem for analytic functions of two complex variables ⋮ On a nonlocal problem for nonlinear pseudoparabolic equations

Cites Work

• Unnamed Item
• Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients
• Solution of nonlinear pseudoparabolic equations by semidiscretization in time
• Riemann boundary value problems for nonlinear elliptic systems
• On an initial boundary value problem for nonlinear pseudoparabolic equation with two space variables
• A Computational Approach for Constructing Singular Solutions of One-Dimensional Pseudoparabolic and Metaparabolic Equations
• Piecewise continuous solutions of pseudoparabolic equations in two space dimensions

This page was built for publication: Piecewise continuous solutions of nonlinear pseudoparabolic equations in two space dimensions*