Analytic Semigroups and Optimal Regularity in Parabolic Problems

Name: Analytic Semigroups and Optimal Regularity in Parabolic Problems
Brand: Springer Basel
SKU: 9783034899567
Price: 115.93 EUR
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Автор: Alessandra Lunardi

Език:

Корици: С меки корици

Издател: Springer Basel

Наличност: Външен склад

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This book gives a systematic treatment of the basic theory of analytic semigroups and abstract parab...

Информация за книгата

Автор

Alessandra Lunardi

Език

Английски език

Корици

Книга - С меки корици

Издадена

2011

страници

424

EAN

9783034899567

ISBN

3034899564

Enbook ID

06798766

Издател

Springer Basel

Теглоt

674

Размери

155 x 235 x 24

Пълно описание

This book gives a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and of how such a theory may be used in parabolic PDE's. It takes into account the developments of the theory during the last fifteen years, and it is focused on classical solutions, with continuous or Holder continuous derivatives. On one hand, working in spaces of continuous functions rather than in Lebesgue spaces seems to be appropriate in view of the number of parabolic problems arising in applied mathematics, where continuity has physical meaning; on the other hand it allows one to consider any type of nonlinearities (even of nonlocal type), even involving the highest order derivatives of the solution, avoiding the limitations on the growth of the nonlinear terms required by the LP approach. Moreover, the continuous space theory is, at present, sufficiently well established. For the Hilbert space approach we refer to J. L. LIONS - E. MAGENES [128], M. S. AGRANOVICH - M. l. VISHIK [14], and for the LP approach to V. A. SOLONNIKOV [184], P. GRISVARD [94], G. DI BLASIO [72], G. DORE - A. VENNI [76] and the subsequent papers [90], [169], [170]. Many books about abstract evolution equations and semigroups contain some chapters on analytic semigroups. See, e. g. , E. HILLE - R. S. PHILLIPS [100]' S. G. KREIN [114], K. YOSIDA [213], A. PAZY [166], H. TANABE [193], PH.

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Analytic Semigroups and Optimal Regularity in Parabolic Problems

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