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Monotone iterations for nonlinear obstacle problem

Published online by Cambridge University Press:  17 February 2009

Philip Korman ,
Anthony W. Leung  and
Srdjan Stojanovic
Philip Korman
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221–0025, U.S.A.
Anthony W. Leung
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221–0025, U.S.A.
Srdjan Stojanovic
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221–0025, U.S.A.
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Abstract

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The existence, uniqueness and regularity of solutions are proved for the obstacle problem with semilinear elliptic partial differential equations of second order. Computationally effective algorithms are provided and application made to steady state problem for the logistic population model with diffusion and an obstacle to growth.

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 3 , January 1990 , pp. 259 - 276
Copyright
Copyright © Australian Mathematical Society 1990

References

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