Linear and Semilinear Partial Differential Equations
| Autor: | Radu Precup |
|---|---|
| EAN: | 9783110269055 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 06.12.2012 |
| Untertitel: | An Introduction |
| Kategorie: | |
| Schlagworte: | Elliptic boundary value problems Partial Differential Equation; Elliptic Equation; Heat Equation; Wave Equation; Sobolev Space Partial differential equations Sobolev spaces Variational theory |
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This textbook provides a brief and lucid introduction to the theory of linear partial differential equations. It clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions. The solution operators associated to non-homogeneous equations are used to make transition to the theory of nonlinear PDEs. Organized on three parts, this material is suitable for three one-semester courses, a beginning one in the frame of classical analysis, a more advanced course in modern theory and a master course in semi-linear equations.
Radu Precup, Babe?-Bolyai University of Cluj-Napoca, Romania.
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