A maximum principle for nonlinear parabolic equations
D. G. Aronson, James Serrin (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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D. G. Aronson, James Serrin (1967)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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José C. Fernandes, Bruno Franchi (1996)
Revista Matemática Iberoamericana
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It is known that degenerate parabolic equations exhibit somehow different phenomena when we compare them with their elliptic counterparts. Thus, the problem of existence and properties of the Green function for degenerate parabolic boundary value problems is not completely solved, even after the contributions of [GN] and [GW4], in the sense that the existence problem is still open, even if the a priori estimates proved in [GN] will be crucial in our approach (...).
Nicolai V. Krylov (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A Banach-space version of the Calderón-Zygmund theorem is presented and applied to obtaining apriori estimates for solutions of second-order parabolic equations in -spaces.
P. Besala (1972)
Annales Polonici Mathematici
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P. Besala (1972)
Annales Polonici Mathematici
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Jean Michel Rakotoson, Benoît Simon (1997)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Thierry Goudon, Mazen Saad (2001)
Revista Matemática Iberoamericana
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This paper is devoted to general parabolic equations involving 0 and 1 order terms, in linear and nonlinear expressions, while the data only belong to L. Existence and entropic-uniqueness of solutions are proved.
D. Blanchard, G. A. Francfort (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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