Lifespan estimates for semilinear damped wave equation in a two-dimensional exterior domain

Lifespan estimates for semilinear damped wave equations of the form ∂ t 2 u - Δ u + ∂ t u = | u | p in a two dimensional exterior domain endowed with the Dirichlet boundary condition are dealt with. For the critical case of the semilinear heat equation ∂ t v - Δ v = v 2 with the Dirichlet boundary c...

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Veröffentlicht in:	Calculus of variations and partial differential equations 2024-12, Vol.63 (9), Article 240
Hauptverfasser:	Ikeda, Masahiro, Sobajima, Motohiro, Taniguchi, Koichi, Wakasugi, Yuta
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Boundary conditions Calculus of Variations and Optimal Control Optimization Control Estimates Life span Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical Thermodynamics Wave equations
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