東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Degenerate Diffusions = Initial Valu...

Daskalopoulos, Panagiota,

Linked to FindBook

Google Book

Amazon

博客來

Degenerate Diffusions = Initial Value Problems and Local Regularity Theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Degenerate Diffusions/ Panagiota Daskalopoulos, Carlos E. Kenig
Reminder of title:	Initial Value Problems and Local Regularity Theory /
Author:	Daskalopoulos, Panagiota,
other author:	Kenig, Carlos E.,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2007,
Description:	1 online resource (207 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/033
Online resource:	https://www.ems-ph.org/img/books/daskalopoulos_mini.jpg
ISBN:	9783037195338

Degenerate Diffusions = Initial Value Problems and Local Regularity Theory /
Daskalopoulos, Panagiota,

Degenerate DiffusionsInitial Value Problems and Local Regularity Theory /[electronic resource] :Panagiota Daskalopoulos, Carlos E. Kenig - Zuerich, Switzerland :European Mathematical Society Publishing House,2007 - 1 online resource (207 pages) - EMS Tracts in Mathematics (ETM)1.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

The book deals with existence, uniqueness, regularity and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation ut = Δum, m ≥ 0, u ≥ 0. Such models arise in plasma physics, diffusions through porous media, thin liquid film dynamics as well as in geometric flows such as the Ricci flow on surfaces and the Yamabe flow. The approach presented to these problems is through the use of local regularity estimates and Harnack type inequalities, which yield compactness for families of solutions. The theory is quite complete in the slow diffusion case (m > 1) and in the supercritical fast diffusion case (mc < m < 1, mc = (n - 2)+/n) while many problems remain in the range m ≤ mc. All of these aspects of the theory are discussed in the book. The book is addressed to both researchers and to graduate students with a good background in analysis and some previous exposure to partial differential equations.

ISBN: 9783037195338

Standard No.: 10.4171/033doiSubjects--Topical Terms:

704075
Differential equations

Degenerate Diffusions = Initial Value Problems and Local Regularity Theory /
LDR:02096nmm a22003015a 4500 001 2233160
003 CH-001817-3
005 20091109150325.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20070531sz fot ||| 0|eng d
020 $a 9783037195338
024 7 0 $a 10.4171/033 $2 doi
035 $a 56-091109
040 $a ch0018173
072 7 $a PBKJ $2 bicssc
084 $a 35-xx $2 msc
100 1 $a Daskalopoulos, Panagiota, $e author. $3 3480885
245 1 0 $a Degenerate Diffusions $h [electronic resource] : $b Initial Value Problems and Local Regularity Theory / $c Panagiota Daskalopoulos, Carlos E. Kenig
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2007
300 $a 1 online resource (207 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Tracts in Mathematics (ETM) $v 1
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a The book deals with existence, uniqueness, regularity and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation ut = Δum, m ≥ 0, u ≥ 0. Such models arise in plasma physics, diffusions through porous media, thin liquid film dynamics as well as in geometric flows such as the Ricci flow on surfaces and the Yamabe flow. The approach presented to these problems is through the use of local regularity estimates and Harnack type inequalities, which yield compactness for families of solutions. The theory is quite complete in the slow diffusion case (m > 1) and in the supercritical fast diffusion case (mc < m < 1, mc = (n - 2)+/n) while many problems remain in the range m ≤ mc. All of these aspects of the theory are discussed in the book. The book is addressed to both researchers and to graduate students with a good background in analysis and some previous exposure to partial differential equations.
650 0 7 $a Differential equations $3 704075
650 0 7 $a Partial differential equations $2 msc. $3 1597893
700 1 $a Kenig, Carlos E., $e author. $3 3480886
856 4 0 $u https://doi.org/10.4171/033
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/daskalopoulos_mini.jpg