000 01366 a2200193 4500
005 20180806125217.0
008 180726b xxu||||| |||| 00| 0 eng d
020 _a9783319743066
040 _cIIT Kanpur
041 _aeng
082 _a515.53
_bM469l
100 _aMedkova, Dagmar
245 _aThe Laplace equation
_bboundary value problems on bounded and unbounded Lipschitz domains
_cDagmar Medkova
260 _bSpringer
_c2018
_aSwitezerland
300 _axiv, 660p
520 _aThis book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions. The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics. This book is of interest to research students, as well as experts in partial differential equations and numerical analysis.
650 _aMathematics
942 _cBK
999 _c559233
_d559233