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Critical Exponents for Fast Diffusion Equations with Nonlinear Boundary Sources

Critical Exponents for Fast Diffusion Equations with Nonlinear Boundary Sources

Year:    2011

Author:    Lusheng Wang, Zejia Wang

Communications in Mathematical Research, Vol. 27 (2011), Iss. 2 : pp. 97–104

Abstract

In this paper, we study the large time behavior of solutions to a class of fast diffusion equations with nonlinear boundary sources on the exterior domain of the unit ball. We are interested in the critical global exponent q0 and the critical Fujita exponent qc for the problem considered, and show that q0=qc for the multi-dimensional Non-Newtonian polytropic filtration equation with nonlinear boundary sources, which is quite different from the known results that q0<qc for the one-dimensional case; moreover, the value is different from the slow case.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-CMR-19092

Communications in Mathematical Research, Vol. 27 (2011), Iss. 2 : pp. 97–104

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    exterior domain critical global exponent critical Fujita exponent fast diffusion equation.

Author Details

Lusheng Wang

Zejia Wang