Critical exponents and where to find them

Authors

  • Sandra Lucente Università degli Studi Aldo Moro di Bari

DOI:

https://doi.org/10.6092/issn.2240-2829/8948

Keywords:

Semilinear wave equations, Time variable coefficients, Critical exponents

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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Published

2018-12-31

How to Cite

Lucente, S. (2018). Critical exponents and where to find them. Bruno Pini Mathematical Analysis Seminar, 9(1), 102–114. https://doi.org/10.6092/issn.2240-2829/8948

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Section

Articles