The unbounded growth of solutions of linear parabolic differential equations
Piotr Besala, Paul Fife (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Displaying similar documents to “A parabolic analogue of Finn's maximum principle.”
The unbounded growth of solutions of linear parabolic differential equations
Homogeneous parabolic surfaces in .
Walter, Rolf (2000)
Beiträge zur Algebra und Geometrie
Similarity:
The first initial-boundary value problem for quasilinear second order parabolic equations
Gary M. Lieberman (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Maximum principles for parabolic systems coupled in both first-order and zero-order terms.
Zhou, Chiping (1994)
International Journal of Mathematics and Mathematical Sciences
Similarity:
A generalization of the maximum principle to nonlinear parabolic systems
Dmitry Portnyagin (2003)
Annales Polonici Mathematici
Similarity:
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.
Nonnegative solutions of parabolic operators with low-order terms.
Riahi, Lotfi (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Explicit exponential decay bounds in quasilinear parabolic problems.
Philippin, G.A., Vernier Piro, S. (1999)
Journal of Inequalities and Applications [electronic only]
Similarity:
Gradient estimates and Harnack inequalities for solutions to the minimal surface equation
Mario Miranda (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
A gradient estimate for solutions to the minimal surface equation can be proved by Partial Differential Equations methods, as in [2]. In such a case, the oscillation of the solution controls its gradient. In the article presented here, the estimate is derived from the Harnack type inequality established in [1]. In our case, the gradient is controlled by the area of the graph of the solution or by the integral of it. These new results are similar to the one announced by Ennio De Giorgi...