Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
- 1 September 2019
- journal article
- research article
- Published by Pleiades Publishing Ltd in Mathematical Notes
- Vol. 106 (3-4) , 639-650
Abstract
Singular blow-up regimes are studied for a wide class of second-order quasilinear parabolic equations. Energy methods are used to obtain exact (in a certain sense) estimates of the final profile of...Keywords
This publication has 11 references indexed in Scilit:
- Singular Solutions of Nonlinear Elliptic and Parabolic Equations2016
- The Porous Medium Equation With Blowing Up Boundary DataAdvanced Nonlinear Studies, 2009
- Structure of boundary blow-up for higher-order quasilinear parabolic equationsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2004
- Saint-Venant's principle in blow-up for higher-order quasilinear parabolic equationsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003
- Localization of Solutions of Exterior Domain Problems for the Porous Media Equation with Radial SymmetrySIAM Journal on Mathematical Analysis, 2000
- Граничные режимы с обострением для общих квазилинейных параболических уравнений в многомерных областях1999
- Degenerate Parabolic Equations1993
- Localization and boundedness of the solutions of the Neumann problem for a filtration equationNonlinear Analysis, 1989
- Localization and blow-up of thermal waves in nonlinear heat conduction with peakingMathematische Annalen, 1988
- Quasilinear elliptic-parabolic differential equationsMathematische Zeitschrift, 1983