NON-NEGATIVE SOLUTIONS OF THE CAUCHY PROBLEM FOR SEMILINEAR WAVE EQUATIONS AND NON-EXISTENCE OF GLOBAL NON-NEGATIVE SOLUTIONS

DOI10.1142/9789812835635_0053zbMath1264.35144OpenAlexW2322723649MaRDI QIDQ3398704

Hiroshi Uesaka

Publication date: 29 September 2009

Published in: More Progresses in Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789812835635_0053

zbMATH Keywords

Cauchy problemsystems of semilinear wave equationsnonexistence of global solutions for certain initial datanonnegative local or global-in-time solutionsProtter-Weinberger method

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55)

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