Strong maximum principle for non-linear parabolic differential-functional inequalities
Jacek Szarski (1974)
Annales Polonici Mathematici
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Displaying similar documents to “Differential-functional inequalities of parabolic type in unbounded regions”
Strong maximum principle for non-linear parabolic differential-functional inequalities
Strong maximum principle for non-linear parabolic differential-functional inequalities in arbitrary domains
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Function classes pertaining to differential inequalities of parabolic type in unbounded regions
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Annales Polonici Mathematici
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Existence of solutions for infinite systems of parabolic equations with functional dependence
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. ...
Differential inequalities of parabolic type in the Sobolev space
J. Chabrowski (1973)
Annales Polonici Mathematici
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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.
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P. Besala (1963)
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Tomasz Dłotko (1980)
Annales Polonici Mathematici
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On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients
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Annales Polonici Mathematici
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Parabolic differential-functional inequalities in viscosity sense
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.
Some theorems on the estimate and existence of solutions of integro-differential equations of parabolic type
H. Ugowski (1972)
Annales Polonici Mathematici
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