Concentration Analysis and Applications to PDE: ICTS Workshop, Bangalore, January 2012
Author:   Adimurthi ,  K. Sandeep ,  Ian Schindler ,  Cyril Tintarev
Publisher:   Birkhauser Verlag AG
Edition:   2013 ed.
ISBN:  

9783034803724


Pages:   156
Publication Date:   05 December 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Concentration Analysis and Applications to PDE: ICTS Workshop, Bangalore, January 2012


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Overview

Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. This book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings.

Full Product Details

Author:   Adimurthi ,  K. Sandeep ,  Ian Schindler ,  Cyril Tintarev
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.424kg
ISBN:  

9783034803724


ISBN 10:   3034803729
Pages:   156
Publication Date:   05 December 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding.- A Class of Second-order Dilation Invariant Inequalities.- Blow-up Solutions for Linear Perturbations of the Yamabe Equation.- Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space.- The Lyapunov-Schmidt Reduction for Some Critical Problems.- A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov-Schmidt's Finite-dimensional Reduction.- Concentration Analysis and Cocompactness.- A Note on Non-radial Sign-changing Solutions for the Schroedinger-Poisson Problem in the Semiclassical Limit.

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