Solvability for differential equations on fractals |
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| Authors: | Robert S Strichartz |
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| Institution: | (1) Mathematics Department, Cornell University, Malott Hall, 14853 Ithaca, NY, USA |
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| Abstract: | We show that nonlinear differential equations based on the Laplacian have local solutions on pcf self-similar fractals. However,
even linear equations may fail to have global solutions. The equation Δu =f may be solved on an arbitrary proper open set for any functionf continuous there.
Research supported in part by the National Science Foundation, Grant DMS-0140194. |
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