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Bruno Pini Mathematical Analysis Seminar | Vol.9, Issue.1 | | Pages

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.

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Critical exponents and where to find them

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Keywords

timevariable critical exponents global existence ones semilinear wavetype problems polynomial nonlinearities

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Sandra Lucente,.Critical exponents and where to find them. 9 (1),.

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