On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
H. Ugowski (1973)
Annales Polonici Mathematici
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Displaying similar documents to “Identification of parameters in parabolic inverse problems”
On a certain non-linear initial-boundary value problem for integro-differential equations of parabolic type
Concerning solutions of an exterior boundary-value problem for a system of non-linear parabolic equations
P. Besala (1964)
Annales Polonici Mathematici
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The parabolic-parabolic Keller-Segel equation
Kleber Carrapatoso (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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I present in this note recent results on the uniqueness and stability for the parabolic-parabolic Keller-Segel equation on the plane, obtained in collaboration with S. Mischler in [11].
Tables of the functions of the parabolic cylinder for negative integer parameters
J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
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On integro-differential equations of parabolic type
H. Ugowski (1971)
Annales Polonici Mathematici
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Evaluations of solutions of a second order parabolic equation
P. Besala (1963)
Colloquium Mathematicae
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Global superconvergence of finite element methods for parabolic inverse problems
Hossein Azari, Shu Hua Zhang (2009)
Applications of Mathematics
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In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.
Non-linear stationary parabolic boundary value problems in an infinite cylinder
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
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An elementary approach to nonexistence of solutions of linear parabolic equations
Piotr Biler, Tadeusz Nadzieja (2011)
Colloquium Mathematicae
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This note presents an elementary approach to the nonexistence of solutions of linear parabolic initial-boundary value problems considered in the Feller test.
On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients
P. Besala (1975)
Annales Polonici Mathematici
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A note on the paper of Y. Naito
Piotr Biler (2006)
Banach Center Publications
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This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
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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Weak Solutions for a Fourth Order Degenerate Parabolic Equation
Changchun Liu, Jinyong Guo (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We consider an initial-boundary value problem for a fourth order degenerate parabolic equation. Under some assumptions on the initial value, we establish the existence of weak solutions by the discrete-time method. The asymptotic behavior and the finite speed of propagation of perturbations of solutions are also discussed.
Characterization of the solutions of a 2b-parabolic operator with initial data in BMO
A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
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Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Wolf von Wahl (1983)
Annales Polonici Mathematici
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On the least principal fundamental solution of a parabolic differential equation
A. Wójcik (1980)
Annales Polonici Mathematici
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A Proof of Simultaneous Linearization with a Polylog Estimate
Tomoki Kawahira (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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We give an alternative proof of simultaneous linearization recently shown by T. Ueda, which connects the Schröder equation and the Abel equation analytically. In fact, we generalize Ueda's original result so that we may apply it to the parabolic fixed points with multiple petals. As an application, we show a continuity result on linearizing coordinates in complex dynamics.