Classical solution to the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables
type: Item
instance of: scholarly article
title: Classical solution to the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables
zbMATH Open document ID: 1547.35458
author: V. I. Korzyuk
author: J. V. Rudzko
published in: Russian Mathematics
publication date: 2024-09-06T00:00:00Z
Mathematics Subject Classification ID: 35L76
Mathematics Subject Classification ID: 35L30
Mathematics Subject Classification ID: 35A09
zbMATH DE Number: 7908234
zbMATH Keywords: Cauchy problem
zbMATH Keywords: classical solution
zbMATH Keywords: local solvability
zbMATH Keywords: global solvability
zbMATH Keywords: hyperbolic equation
zbMATH Keywords: semilinear equation
zbMATH Keywords: a priori estimate
zbMATH Keywords: fixed point principle
MaRDI profile type: Publication
cites work: Q5189317
cites work: Solution of the Cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables
cites work: Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen.
cites work: Q3333406
cites work: Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients
cites work: Q5840361
cites work: Q5539269
cites work: CLASSICAL SOLUTION OF THE CAUCHY PROBLEM FOR BIWAVE EQUATION: APPLICATION OF FOURIER TRANSFORM
cites work: The classical solution, weakened on the axis, of the centrally symmetric third mixed problem for a three-dimensional hyperbolic equation of even order in Hölder spaces
cites work: FUNDAMENTAL SOLUTIONS AND LACUNAE OF QUASIHYPERBOLIC EQUATIONS
cites work: Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients
cites work: Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential
cites work: Classical solution of the initial-value problem for a one-dimensional quasilinear wave equation
cites work: Classical solution of the Cauchy problem for a quasi-linear wave equation with discontinuous initial conditions
cites work: Cauchy problem for a generalized nonlinear Liouville equation
cites work: A singular initial value problem for the equation $u^{(n)}(x) = g(u(x))$
cites work: Q3207487
cites work: Method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator
cites work: Q3937322
cites work: Mixed problem with a nonlinear boundary condition for a semilinear wave equation
cites work: Solvability of a mixed problem with nonlinear boundary condition for a one-dimensional semilinear wave equation
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Inequalities for differential and integral equations
cites work: Q4000235
cites work: Blow-up phenomena of second-order nonlinear differential equations
DOI: 10.3103/S1066369X24700178
description: scientific article; zbMATH DE number 7908234