000 02614nam a22003858i 4500
001 CR9780511662362
003 UkCbUP
005 20200124160242.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091215s1995||||enk o ||1 0|eng|d
020 _a9780511662362 (ebook)
020 _z9780521556033 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA377
_b.T27 1995
082 0 0 _a515/.353
_220
100 1 _aTaira, Kazuaki,
_eauthor.
245 1 0 _aAnalytic semigroups and semilinear initial boundary value problems /
_cKazuaki Taira.
246 3 _aAnalytic Semigroups & Semilinear Initial Boundary Value Problems
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (x, 164 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v223
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aCh. I. Theory of Analytic Semigroups -- Ch. II. Sobolev Imbedding Theorems -- Ch. III. L[superscript p] Theory of Pseudo-Differential Operators -- Ch. IV. L[superscript p] Approach to Elliptic Boundary Value Problems -- Ch. V. Proof of Theorem 1 -- Ch. VI. Proof of Theorem 2 -- Ch. VII. Proof of Theorems 3 and 4 -- Appendix: The Maximum Principle.
520 _aThis book provides a careful and accessible exposition of the function analytic approach to initial boundary value problems for semilinear parabolic differential equations. It focuses on the relationship between two interrelated subjects in analysis: analytic semigroups and initial boundary value problems. This semigroup approach can be traced back to the pioneering work of Fujita and Kato on the Navier-Stokes equation. The author studies non homogeneous boundary value problems for second order elliptic differential operators, in the framework of Sobolev spaces of Lp style, which include as particular cases the Dirichlet and Neumann problems, and proves that these boundary value problems provide an example of analytic semigroups in Lp. This book will be a necessary purchase for researchers with an interest in analytic semigroups or initial value problems.
650 0 _aDifferential equations, Parabolic.
650 0 _aBoundary value problems.
650 0 _aSemigroups.
776 0 8 _iPrint version:
_z9780521556033
830 0 _aLondon Mathematical Society lecture note series ;
_v223.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511662362
999 _c518623
_d518621