000			01476 a2200193 4500
008			211226b |||||||| |||| 00| 0 eng d
020			_a9781139171755
082			_a515.353 _bWLO
100			_aWloka, J.
245			_aPartial differential equations
260			_bCambridge University Press, _c1987. _aNew York:
300			_axi, 518p.;pbk. _c23cm.
520			_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 difference process for the practical solution of a partial differential equation, emphasizing 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			_aFunctional analysis
650			_aSobolev spaces
650			_aDifferential equations--Partial
650			_aDynamical Systems and control theory
942			_2ddc _cTD
999			_c55532 _d55532