Finite-time blow-up of solutions to semilinear wave equations

DOI10.1006/JFAN.2001.3885zbMath1005.35064OpenAlexW2083000049MaRDI QIDQ1604536

Eugene Belchev, Zhengfang Zhou, Mariusz Kepka

Publication date: 4 July 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3885

zbMATH Keywords

Minkowski spacemethod of conformal compactification

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70)

Related Items (7)

Initial boundary value problem for a strongly damped wave equation with a general nonlinearity ⋮ On the existence or absence of global solutions for the multidimensional version of the second Darboux problem for some nonlinear hyperbolic equations ⋮ On the nonexistence of global solutions of the characteristic Cauchy problem for a nonlinear wave equation in a conical domain ⋮ On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations ⋮ Global nonexistence of solutions to a semilinear wave equation in the Minkowski space ⋮ On the solvability of the Cauchy characteristic problem for a nonlinear equation with iterated wave operator in the principal part ⋮ Global solutions and finite time blow up for some system of nonlinear wave equations

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