The first initial-boundary value problem for quasilinear second order parabolic equations
Gary M. Lieberman (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gary M. Lieberman (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Gary M. Lieberman (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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B. H. Gilding (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Darya E. Apushkinskaya, Alexander I. Nazarov (2000)
Applications of Mathematics
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We review the recent results for boundary value problems with boundary conditions given by second-order integral-differential operators. Particular attention has been paid to nonlinear problems (without integral terms in the boundary conditions) for elliptic and parabolic equations. For these problems we formulate some statements concerning a priori estimates and the existence theorems in Sobolev and Hölder spaces.