Bilateral Evolution Problems of Non-Variational Type: Existence, Uniqueness, Hölder-Regularity and Approximation of Solutions.
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Blow-up of nonnegative solutions to quasilinear parabolic inequalities
Stanislav I. Pohozaev, Alberto Tesei (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We investigate critical exponents for blow-up of nonnegative solutions to a class of parabolic inequalities. The proofs make use of a priori estimates of solutions combined with a simple scaling argument.
Blow-up results for nonlinear hyperbolic inequalities
Stanislav Pohozaev, Laurent Véron (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Boundary trace of positive solutions of nonlinear elliptic inequalities
Moshe Marcus, Laurent Véron (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We develop a new method for proving the existence of a boundary trace, in the class of Borel measures, of nonnegative solutions of in a smooth domain under very general assumptions on . This new definition which extends the previous notions of boundary trace is based upon a sweeping technique by solutions of Dirichlet problems with measure boundary data. We also prove a boundary pointwise blow-up estimate of any solution of such inequalities in terms of the Poisson kernel. If the nonlinearity...
Currently displaying 1 – 4 of 4
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