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