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The Dirichlet Problem for Second Order Semilinear Elliptic and Parabolic Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Tersenov, A. |
| Copyright Year | 2009 |
| Abstract | In the present paper the Dirichlet problem for semilinear elliptic and parabolic equations in general form is considered. New condition guaranteeing the global solvability of this problem for a wide class of superlinear sources, including e u and |u|p−1u , p > 1 , is formulated. For sublinear case (for example ln(1+ |u|) or |u|p−1u , p < 1) this condition is automatically fulfilled. Our approach gives new a priori estimate of the solution for superlinear, sublinear and linear case as well. Mathematics subject classification (2000): 35J25, 35K20. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://files.ele-math.com/abstracts/dea-01-22-abs.pdf |
| Alternate Webpage(s) | http://files.ele-math.com/articles/dea-01-22.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Aortic Valve Insufficiency Commutation theorem Courant–Friedrichs–Lewy condition Emoticon European Union Integer (number) Mathematics Subject Classification Nonlinear system Parabolic antenna Semilinear response |
| Content Type | Text |
| Resource Type | Article |
