The lifespan of classical solutions of semilinear wave equations with spatial weights and compactly supported data in one space dimension
Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura
Abstract
This paper studies initial value problems for semilinear wave equations with spatial weights in one space dimension. The lifespan estimates of classical solutions for compactly supported data are established in all the cases of polynomial weights. The results are classified into two cases according to the total integral of the initial speed.
Topics & Concepts
MathematicsDimension (graph theory)Space (punctuation)PolynomialMathematical analysisInitial value problemValue (mathematics)Applied mathematicsPure mathematicsStatisticsLinguisticsPhilosophyAdvanced Mathematical Physics ProblemsNonlinear Waves and SolitonsStability and Controllability of Differential Equations