The method of intrinsic scaling : a systematic approach to regularity for degenerate and singular PDEs / José Miguel Urbano.

By:

Urbano, José Miguel, 1970-

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540759324
3540759328
9783540759317
354075931X

Subject(s): Additional physical formats: Print version:: Method of intrinsic scaling.DDC classification:

515.353 22

LOC classification:

QA433 .U73 2008eb
QA3 .L28 no. 1930

Online resources:

Click here to access online

Contents:

pt. 1. The method of intrinsic scaling -- pt. 2. Some applications.

Summary: This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. This approach brings to light what is really essential in the method, leaving aside technical refinements needed to deal with more general equations, and is entirely self-contained. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. The aim is to convince the reader of the strength of the method as a systematic approach to regularity for this important class of equations.

Holdings ( 1 )
Title notes ( 5 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	eBook LN Mathematic		Available

Total holds: 0

Includes bibliographical references (pages 145-148) and index.

pt. 1. The method of intrinsic scaling -- pt. 2. Some applications.

Print version record.

English.

This set of lectures, which had its origin in a mini course delivered at the Summer Program of IMPA (Rio de Janeiro), is an introduction to intrinsic scaling, a powerful method in the analysis of degenerate and singular PDEs. In the first part, the theory is presented from scratch for the model case of the degenerate p-Laplace equation. This approach brings to light what is really essential in the method, leaving aside technical refinements needed to deal with more general equations, and is entirely self-contained. The second part deals with three applications of the theory to relevant models arising from flows in porous media and phase transitions. The aim is to convince the reader of the strength of the method as a systematic approach to regularity for this important class of equations.