Some theorems on the estimate and existence of solutions of integro-differential equations of parabolic type
H. Ugowski (1972)
Annales Polonici Mathematici
Similarity:
H. Ugowski (1972)
Annales Polonici Mathematici
Similarity:
Ferit Gurbuz (2016)
Open Mathematics
Similarity:
In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators on parabolic generalized local Morrey spaces. As its special cases, the corresponding results of parabolic sublinear operators with rough kernel and their commutators can be deduced, respectively. At last, parabolic Marcinkiewicz operator...
A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
Similarity:
Steve Hofmann, John L. Lewis (2001)
Revista Matemática Iberoamericana
Similarity:
We establish L and L bounds for a class of square functions which arises in the study of singular integrals and boundary value problems in non-smooth domains. As an application, we present a simplified treatment of a class of parabolic smoothing operators which includes the caloric single layer potential on the boundary of certain minimally smooth, non-cylindrical domains.
Di Benedetto, Emmanuele
Similarity:
Masashi Misawa (2004)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We prove the unique existence of a classical solution for a linear parabolic system of nondivergence and nondiagonal form. The key ingredient is to combine the energy estimates with Schauder estimates and to obtain a uniform boundedness of a solution.