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
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 1479.35143
author: M. O. Korpusov
author: A. A. Panin
published in: Journal of Mathematical Analysis and Applications
publication date: 2021-09-01T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35K70
zbMATH DE Number: 7389233
zbMATH Keywords: finite-time blow-up
zbMATH Keywords: nonlinear waves
zbMATH Keywords: instantaneous blow-up
zbMATH Keywords: Schauder-type estimate
zbMATH Keywords: Sobolev-typeequation
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125469
OpenAlex ID: W3178082384
cites work: Q5536820
cites work: Q4223674
cites work: Q4692276
cites work: Some nonexistence results for quasilinear elliptic problems
cites work: POTENTIAL THEORY FOR THE EQUATION OF SMALL OSCILLATIONS OF A ROTATING FLUID
cites work: Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type
cites work: Solution blowup for nonlinear equations of the Khokhlov-Zabolotskaya type
cites work: Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors
cites work: On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type
cites work: Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field
cites work: Blow-Up in Nonlinear Equations of Mathematical Physics
cites work: On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type
cites work: Q4716216
cites work: Q4373816
cites work: A priori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities.
cites work: On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
cites work: Local solvability and global unsolvability of a model of ion-sound waves in a plasma
cites work: Fundamental solutions of Sobolev-type operators and some initial boundary-value problems
cites work: Asymptotic expansions for a model with distinguished “fast” and “slow” variables, described by a system of singularly perturbed stochastic differential equations
cites work: Q4040561
cites work: Q5398183
cites work: NONCLASSICAL EQUATIONS OF MATHEMATICAL PHYSICS. LINEAR SOBOLEV TYPE EQUATIONS OF HIGHER ORDER
DOI: 10.1016/J.JMAA.2021.125469
description: scientific article; zbMATH DE number 7389233