A fundamental estimate and an inequality of Caccioppoli's type for nonlinear parabolic systems of higher order
Roberto Amato (1991)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Some regularity results for quasi-linear parabolic systems”
A fundamental estimate and an inequality of Caccioppoli's type for nonlinear parabolic systems of higher order
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains.
Nagai, Toshitaka (2001)
Journal of Inequalities and Applications [electronic only]
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The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation
Jiaqing Pan (2011)
Open Mathematics
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In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.
A quasi-linear parabolic system of chemotaxis.
Senba, Takasi, Suzuki, Takasi (2006)
Abstract and Applied Analysis
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Blowup for degenerate and singular parabolic system with nonlocal source.
Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)
Boundary Value Problems [electronic only]
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Interior gradient estimates for nonuniformly parabolic equations. II.
Lieberman, Gary M. (2007)
Boundary Value Problems [electronic only]
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Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems
Arina A. Arkhipova (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.