000 | 01423nam a22001817a 4500 | ||
---|---|---|---|
008 | 210715b1987 ||||| |||| 00| 0 eng d | ||
020 | _a9780521277594 | ||
082 | _a515.353 WLO-J | ||
100 | _aWloka, J | ||
245 |
_aPartial differential equations / _cJ. Wloka |
||
260 |
_aNew York _bCambridge University Press _c1987 |
||
300 | _a518 p. | ||
365 |
_aGBP _b72.99. |
||
500 | _aThis book is a rigorous introduction to the abstract theory of partial differential equations. The main prerequisite is familiarity with basic functional analysis: more advanced topics such as Fredholm operators, the Schauder fixed point theorem and Bochner integrals are introduced when needed, and the book begins by introducing the necessary material from the theory of distributions and Sobolev spaces. Using such techniques, the author presents different methods available for solving elliptic, parabolic and hyperbolic equations. He also considers the different process for the practical solution of a partial differential equation, emphasising that it is possible to solve them numerically by simple methods. Many examples and exercises are provided throughout, and care is taken to explain difficult points. Advanced undergraduates and graduate students will appreciate this self-contained and practical introduction. | ||
650 | _aDifferential equations, Partial | ||
650 | _aSobolev spaces | ||
650 | _aFunctional analysis | ||
999 |
_c66680 _d66680 |