Lectures on Elliptic Partial Differential Equations

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.

List 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.

About the author

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.

Summary

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.

Product details

• Authors: Luig Ambrosio, Luigi Ambrosio, Alessandr Carlotto, Alessandro Carlotto, A Massaccesi, Annalisa Massaccesi
• Publisher: Edizioni della Normale
• Languages: English
• Product format: Paperback / Softback
• Released: 31.03.2019
• No. of pages: 230
• Dimensions: 151 mm x 241 mm x 22 mm
• Weight: 474 g
• Series: Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore); Publications of the Scuola Normale Superiore; Publications of the Scuola Normale Superiore / Theses (Scuola Normale Superiore); Lecture Notes (Scuola Normale Superiore)
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis