Level set method for solving Poisson's equation with discontinuous nonlinearities
We study semi-linear elliptic free boundary problems in which the forcing term is discontinuous; i.e., a Poisson's equation where the forcing term is the Heaviside function applied to the unknown minus a constant. This approach uses level sets to construct a monotonic sequence of iterates...
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| Format: | Article |
| Language: | English |
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Texas State University
2005-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/132/abstr.html |