INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783319020006
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52369
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
General Parabolic Mixed Order Systems in Lp and Application
General Material Designation
[Book]
First Statement of Responsibility
/ by Robert Denk, Mario Kaip
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham
Name of Publisher, Distributor, etc.
: Springer International Publishing :Imprint: Birkh?nuser,
Date of Publication, Distribution, etc.
, 2013.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
VIII, 250 p. 16 illus., 1 illus. in color., online resource.
SERIES
Series Title
(Operator Theory
Other Title Information
: Advances and Applications,0255-0156
Volume Designation
; 239)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
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.
Text of Note
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.?╗╣
SERIES
Title
Operator Theory: Advances and Applications,0255-0156
Volume Number
239
TOPICAL NAME USED AS SUBJECT
Mathematics
Operator theory
Differential equations, partial
Electronic books
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Denk, Robert.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Kaip, Mario
SpringerLink (Online service)
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9783319019994.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9783319019994.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
