University of Birmingham > Talks@bham > Analysis Seminar > On the critical exponent for the damped nonlinear wave equation with lowly decaying data

On the critical exponent for the damped nonlinear wave equation with lowly decaying data

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If you have a question about this talk, please contact Diogo Oliveira E Silva.

In this talk, we consider the Cauchy problem for the nonlinear damped wave equation (dNLW). First, we show sharp Lp-Lq estimates for solutions to the corresponding linear equation. Then, we apply these estimates to dNLW with slowly decaying initial data, namely the initial data are not in L1. In particular, we prove the global existence of solutions to dNLW with the critical nonlinearity, while there is a blowup solution with initial data in L1 . This is a joint work with Masahiro Ikeda (RIKEN), Takahisa Inui (Osaka Univ.), and Yuta Wakasugi (Ehime Univ.).

This talk is part of the Analysis Seminar series.

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