Intermittence and nonlinear parabolic stochastic partial differential equations.
Foondun, Mohammud, Khoshnevisan, Davar (2009)
Electronic Journal of Probability [electronic only]
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Foondun, Mohammud, Khoshnevisan, Davar (2009)
Electronic Journal of Probability [electronic only]
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Boldrini, José Luiz, Crema, Janete (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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P. Besala (1983)
Annales Polonici Mathematici
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Dian K. Palagachev, Lubomira G. Softova (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We deal in this Note with linear parabolic (in sense of Petrovskij) systems of order with discontinuous principal coefficients belonging to . By means of a priori estimates in Sobolev-Morrey spaces we give a precise characterization of the Morrey, BMO and Hölder regularity of the solutions and their derivatives up to order .
Simon, László (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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El Hachimi, Abderrahmane, Alaoui, Abdelilah Lamrani (2008)
Applied Mathematics E-Notes [electronic only]
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Hirano, Norimichi, Shioji, Naoki (2004)
Abstract and Applied Analysis
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P. Besala (1975)
Annales Polonici Mathematici
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Nee, Janpou (1994)
Journal of Applied Mathematics and Stochastic Analysis
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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.
Anna Pudełko (2005)
Annales Polonici Mathematici
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The Cauchy problem for an infinite system of parabolic type equations is studied. General operators of parabolic type of second order with variable coefficients are considered and the system is weakly coupled. We prove the existence and uniqueness of a bounded solution under Carathéodory type conditions and its differentiability, as well as the existence and uniqueness in the class of functions satisfying a natural growth condition. Both results are obtained by the fixed point method. ...