General Parabolic Mixed Order Systems in Lp and Application
نام عام مواد
[Book]
نام نخستين پديدآور
/ by Robert Denk, Mario Kaip
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Cham
نام ناشر، پخش کننده و غيره
: Springer International Publishing :Imprint: Birkh?nuser,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
VIII, 250 p. 16 illus., 1 illus. in color., online resource.
فروست
عنوان فروست
(Operator Theory
ساير اطلاعات عنواني
: Advances and Applications,0255-0156
مشخصه جلد
; 239)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
In this text, a theory for general linear parabolic partial differential equations is established, which covers equations with inhomogeneous symbol structure as well as mixed order systems. Typical applications include several variants of the Stokes system and free boundary value problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity), which is the key step for the treatment of nonlinear problems. The theory is based on the concept of the Newton polygon and can cover equations that are not accessible by standard methods as, e.g., semigroup theory. Results are obtained in different types of non-integer Lp-Sobolev spaces as Besov spaces, Bessel potential spaces, and Triebel-Lizorkin spaces. The latter class appears in a natural way as traces of Lp-Lq-Sobolev spaces. We also present a selection of applications in the whole space and on half-spaces. Among others, we prove well-posedness of the linearizations of the generalized thermoelastic plate equation, the two-phase Navier-Stokes equations with Boussinesq-Scriven surface, and the Lp-Lq two-phase Stefan problem with Gibbs-Thomson correction.
متن يادداشت
Introduction and Outline -- 1The joint time-space H(infinity)-calculus -- 2 The Newton polygon approach for mixed-order systems.-3 Triebel-Lizorkin spaces and the Lp-Lq setting.-4 Application to parabolic differential equations -- List of figures.-Bibliography -- List of symbols -- Index.?╗╣
فروست (داده ارتباطی)
عنوان
Operator Theory: Advances and Applications,0255-0156
شماره جلد
239
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Operator theory
موضوع مستند نشده
Differential equations, partial
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )