Semilinear integro-differential equations with compact semigroups.
Bahuguna, D., Srivastava, S.K. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Bahuguna, D., Srivastava, S.K. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Belmekki, M., Benchohra, M., Ntouyas, S.K. (2006)
Fixed Point Theory and Applications [electronic only]
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Henderson, Johnny, Ouahab, Abdelghani (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Berroug, Tarik (2010)
Applied Mathematics E-Notes [electronic only]
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Mohamed Hmissi, Ezzedine Mliki (2010)
Commentationes Mathematicae Universitatis Carolinae
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We study the integral representation of potentials by exit laws in the framework of sub-Markovian semigroups of bounded operators acting on . We mainly investigate subordinated semigroups in the Bochner sense by means of -subordinators. By considering the one-sided stable subordinators, we deduce an integral representation for the original semigroup.
Liang, Jin, Liu, James, Xiao, Ti-Jun (2007)
Journal of Inequalities and Applications [electronic only]
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Stefano Bonaccorsi, Marco Fuhrman (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove some smoothing properties for the transition semigroup associated to a nonlinear stochastic equation in a Hilbert space. The proof introduces some tools from the Malliavin calculus and is based on a integration by parts formula.
Jan Bochenek (1999)
Annales Polonici Mathematici
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This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.
Purnaras, I.K. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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