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.
@article{8948, title = {Critical exponents and where to find them}, journal = {Bruno Pini Mathematical Analysis Seminar}, year = {2018}, doi = {10.6092/issn.2240-2829/8948}, language = {EN}, url = {http://dml.mathdoc.fr/item/8948} }
Lucente, Sandra. Critical exponents and where to find them. Bruno Pini Mathematical Analysis Seminar, (2018), . doi : 10.6092/issn.2240-2829/8948. http://gdmltest.u-ga.fr/item/8948/