Tusk type conditions and thinness for the parabolic operator of order ...
Miroslav Brzezina (1993)
Manuscripta mathematica
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Miroslav Brzezina (1993)
Manuscripta mathematica
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El-Fiky, Ahmed (1998)
International Journal of Mathematics and Mathematical Sciences
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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. ...
Yehuda Pinchover (1996)
Mathematische Zeitschrift
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Wilfried Wieser (1986)
Manuscripta mathematica
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Ling, Zhengqiu, Wang, Zhi-Gang (2007)
Lobachevskii Journal of Mathematics
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Michael Struwe (1981)
Manuscripta mathematica
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T. Winiarska (1990)
Annales Polonici Mathematici
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Ray Redheffer, Wolfgang Walter (1980)
Mathematische Zeitschrift
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Vincenzo Vespri (1992)
Manuscripta mathematica
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Piotr Biler (1995)
Studia Mathematica
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The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.
M. Struwe, M. Giaquinta (1981)
Manuscripta mathematica
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Alessandra Lunardi (1981)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Studia l’analiticità della soluzione massimale di una equazione parabolica astratta in spazi di Banach.
A. Wójcik (1980)
Annales Polonici Mathematici
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D. G. Aronson, P. Besala (1967)
Colloquium Mathematicae
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A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
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