Linear Singular Parabolic Equations in Banach Spaces.
Davide Guidetti (1987)
Mathematische Zeitschrift
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Davide Guidetti (1987)
Mathematische Zeitschrift
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Dmitry Portnyagin (2006)
Annales Polonici Mathematici
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Hölder continuity of weak solutions is studied for a nondiagonal parabolic system of singular quasilinear differential equations with matrix of coefficients satisfying special structure conditions. A technique based on estimating linear combinations of the unknowns is employed.
Kevin Clancey, Israel Gohberg (1979)
Mathematische Zeitschrift
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Wolfgang Walter, Ray. Redheffer (1977)
Mathematische Zeitschrift
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M.R. Siddiqi (1936)
Mathematische Zeitschrift
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C.A. Stuart (1974)
Mathematische Zeitschrift
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Allan L. Edmonds, Ronald Fintushel (1976)
Mathematische Zeitschrift
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Upke-Walther Schmincke (1972)
Mathematische Zeitschrift
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C. Sadosky (1966)
Studia Mathematica
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Giovanni Dore, Alberto Venni (1987)
Mathematische Zeitschrift
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Shi, Peihu, Wang, Mingxin (2006)
Journal of Inequalities and Applications [electronic only]
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Joe Howard (1970)
Colloquium Mathematicae
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Ferit Gurbuz (2016)
Open Mathematics
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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...
Herbert Amann (1990)
Mathematische Zeitschrift
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