Critical curve for a weakly coupled system of semilinear \(\sigma\)-evolution equations with frictional damping

DOI10.1216/RMJ.2022.52.299zbMath1487.35050OpenAlexW4224279246MaRDI QIDQ2136379

Nguyen Hai Son, Tuan Anh Dao

Publication date: 10 May 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-1/Critical-curve-for-a-weakly-coupled-system-of-semilinear-%cf%83/10.1216/rmj.2022.52.299.full

zbMATH Keywords

critical exponentglobal existencefrictional dampingweakly coupled system\(\sigma\)-evolution equation

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76) Initial value problems for higher-order hyperbolic systems (35L56)

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