Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors

DOI10.1016/J.JMAA.2017.10.062zbMath1380.35028OpenAlexW2766717541MaRDI QIDQ1684706

M. O. Korpusov, Dmitry V. Lukyanenko

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.10.062

zbMATH Keywords

Richardson extrapolationSobolev problemlocal solvabilitycomplete blow-up

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Singular elliptic equations (35J75) Singular parabolic equations (35K67)

Related Items (10)

Semilinear Sobolev Type Mathematical Models ⋮ Local solvability and global unsolvability of a model of ion-sound waves in a plasma ⋮ Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein-Gordon equation ⋮ Exact solutions of a second-order nonlinear partial differential equation ⋮ Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source ⋮ Blow-up instability in non-linear wave models with distributed parameters ⋮ On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces ⋮ Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. I: Green formulas ⋮ On nonextendable solutions and blow-ups of solutions of pseudoparabolic equations with coercive and constant-sign nonlinearities: analytical and numerical study ⋮ On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type

Uses Software

• RODAS

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