Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Wolf von Wahl (1983)
Annales Polonici Mathematici
Similarity:
Displaying similar documents to “Full regularity of bounded solutions to nondiagonal parabolic systems of two equations”
Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Regularity for doubly nonlinear parabolic equations
Ivanov, Alexander V.
Similarity:
Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
Changchun Liu (2013)
Annales Polonici Mathematici
Similarity:
We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
New a priori estimates for nondiagonal strongly nonlinear parabolic systems
Arina Arkhipova (2008)
Banach Center Publications
Similarity:
We consider nondiagonal elliptic and parabolic systems of equations with quadratic nonlinearities in the gradient. We discuss a new description of regular points of solutions of such systems. For a class of strongly nonlinear parabolic systems, we estimate locally the Hölder norm of a solution. Instead of smallness of the oscillation, we assume local smallness of the Campanato seminorm of the solution under consideration. Theorems about quasireverse Hölder inequalities proved by the...
Comparison theorems for purely non-linear parabolic differential operators
P. Besala (1983)
Annales Polonici Mathematici
Similarity:
Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations
Dmitry Portnyagin (2006)
Annales Polonici Mathematici
Similarity:
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.
On the Partial Regularity of Weak Solutions of Nonlinear Parabolic Systems.
Michael Struwe, Mariano Giaquinta (1982)
Mathematische Zeitschrift
Similarity:
Evaluations of solutions of a second order parabolic equation
P. Besala (1963)
Colloquium Mathematicae
Similarity:
A Proof of Simultaneous Linearization with a Polylog Estimate
Tomoki Kawahira (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
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.
Global bounds for a class of quasilinear parabolic equations.
Horn, Werner (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
Parabolic sublinear operators with rough kernel generated by parabolic calderön-zygmund operators and parabolic local campanato space estimates for their commutators on the parabolic generalized local morrey spaces
Ferit Gurbuz (2016)
Open Mathematics
Similarity:
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...
Characterization of the solutions of a 2b-parabolic operator with initial data in BMO
A. Grimaldi, F. Ragnedda (1983)
Annales Polonici Mathematici
Similarity:
A note on the paper of Y. Naito
Piotr Biler (2006)
Banach Center Publications
Similarity:
This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
Global existence and long-time behavior of solutions to a class of degenerate parabolic equations
Cung The Anh, Phan Quoc Hung (2008)
Annales Polonici Mathematici
Similarity:
We study the global existence and long-time behavior of solutions for a class of semilinear degenerate parabolic equations in an arbitrary domain.