Almost global existence for exterior Neumann problems of semilinear wave equations in 2D

2012/08/17 by Soichiro Katayama, Katayama, Soichiro, Hideo Kubo +3 · 2 citations
Mathematics · #35L20 #35L70 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L20 #msc:35L70

paper · pdf · doi:10.48550/arxiv.1208.3531

arxiv created 2012/08/17 · arxiv updated 2012/08/20

Abstract

The aim of this article is to prove an "almost" global existence result for some semilinear wave equations in the plane outside a bounded convex obstacle with the Neumann boundary condition.

Cited by

• Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
• Long-Time Existence of Quasilinear Wave Equations Exterior to Star-shaped Obstacle in 2D

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