Singular limit of solutions

of the porous medium equation

with absorption

Author:
Kin Ming Hui

Journal:
Trans. Amer. Math. Soc. **350** (1998), 4651-4667

MSC (1991):
Primary 35B40; Secondary 35B25, 35K55, 35K65

DOI:
https://doi.org/10.1090/S0002-9947-98-02030-3

MathSciNet review:
1443877

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that as the solutions of , , , , , , , converges in to the solution of the ODE , , where , , satisfies in for some function , , satisfying whenever for a.e. , for and for , where is a constant and is any measurable subset of .

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Additional Information

**Kin Ming Hui**

Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei, 11529, Taiwan, R. O. C.

Email:
makmhui@ccvax.sinica.edu.tw

DOI:
https://doi.org/10.1090/S0002-9947-98-02030-3

Keywords:
Singular limit,
porous medium equation with absorption

Received by editor(s):
April 20, 1996

Received by editor(s) in revised form:
December 15, 1996

Article copyright:
© Copyright 1998
American Mathematical Society