Differential-functional inequalities of parabolic type in unbounded regions
P. Besala, G. Paszek (1980)
Annales Polonici Mathematici
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P. Besala, G. Paszek (1980)
Annales Polonici Mathematici
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J. Szarski (1975)
Annales Polonici Mathematici
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P. Besala (1972)
Annales Polonici Mathematici
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S. Brzychczy (1964)
Annales Polonici Mathematici
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P. Besala (1972)
Annales Polonici Mathematici
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I. Łojczyk-Królikiewicz, J. Szarski (1967)
Annales Polonici Mathematici
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A. Fitzke (1970)
Annales Polonici Mathematici
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Wolfgang Walter (1986)
Mathematische Zeitschrift
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Krzysztof Topolski (1998)
Annales Polonici Mathematici
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We consider viscosity solutions for second order differential-functional equations of parabolic type. Initial value and mixed problems are studied. Comparison theorems for subsolutions, supersolutions and solutions are considered.
H. Ugowski (1971)
Annales Polonici Mathematici
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J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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Dmitry Portnyagin (2003)
Annales Polonici Mathematici
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A generalization of the well-known weak maximum principle is established for a class of quasilinear strongly coupled parabolic systems with leading terms of p-Laplacian type.
Byszewski, Ludwik (1990)
Journal of Applied Mathematics and Stochastic Analysis
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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. ...
P. Besala (1963)
Colloquium Mathematicae
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J. Chabrowski (1973)
Annales Polonici Mathematici
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Cung The Anh, Phan Quoc Hung (2008)
Annales Polonici Mathematici
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We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.
H. Ugowski (1972)
Annales Polonici Mathematici
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