Critical exponents and where to find them

Sandra Lucente

Abstract


In this expository paper we present a list of different semilinear wave-type problems with time-variable coefficients. The aim of this work is to understand the influence of such coefficients on the critical exponents for polynomial nonlinearities. Statements of global existence and blow-up will follow according to exponents which are below or above these critical ones.

Keywords


Semilinear wave equations; Time variable coefficients; Critical exponents

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DOI: 10.6092/issn.2240-2829/8948

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Copyright (c) 2018 Sandra Lucente

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