Lectures on Elliptic Partial Differential Equations

Author:   Luigi Ambrosio ,  Alessandro Carlotto ,  Annalisa Massaccesi
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2018
Volume:   18
ISBN:  

9788876426506


Pages:   230
Publication Date:   12 January 2019
Format:   Paperback
Availability:   In Print   Availability explained
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Lectures on Elliptic Partial Differential Equations


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Overview

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.

Full Product Details

Author:   Luigi Ambrosio ,  Alessandro Carlotto ,  Annalisa Massaccesi
Publisher:   Birkhauser Verlag AG
Imprint:   Scuola Normale Superiore
Edition:   1st ed. 2018
Volume:   18
ISBN:  

9788876426506


ISBN 10:   8876426507
Pages:   230
Publication Date:   12 January 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Variational aspects of some classes of elliptic problems.- Classical regularity theory for linear problems.- Interior regularity for nonlinear equations.- Regularity for systems.- Viscosity solutions.- Appendices - A. Some basic facts concerning Sobolev spaces.- B. Miscellaneous results in real and harmonic analysis.- C. Hausdorff measures.- D. Some tools from convex and nonsmooth analysis.

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Author Information

Luigi Ambrosio is full Professor at the Scuola Normale Superiore in Pisa, Italy. Alessandro Carlotto is Professor at the ETH Zürich in Switzerland. Annalisa Massaccesi is Research Scholarship Holder at the Università di Verona in Italy.

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