Partial Differential Equations

Author:   Emmanuele DiBenedetto ,  Ugo Gianazza
Publisher:   Birkhauser Verlag AG
Edition:   3rd ed. 2023
ISBN:  

9783031466175


Pages:   748
Publication Date:   22 October 2023
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Partial Differential Equations


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Author:   Emmanuele DiBenedetto ,  Ugo Gianazza
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   3rd ed. 2023
Weight:   1.328kg
ISBN:  

9783031466175


ISBN 10:   3031466179
Pages:   748
Publication Date:   22 October 2023
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

Preliminaries.- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem.- The Laplace Equation.- Boundary Value Problems by Double-Layer Potentials.- Integral Equations and Eigenvalue Problems.- The Heat Equation.- The Wave Equation.- Quasi-Linear Equations of First Order.- Linear Elliptic Equations with Measurable Coefficients.- Elliptic De Giorgi Classes.- Navier-Stokes Equations.- Quasi-Linear Hyperbolic First Order Systems.- Non-Linear Equations of the First Order.

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Emanuele DiBenedetto (1947-2021) was Emeritus Centennial Professor of Mathematics at Vanderbilt University. His teaching and research at Vanderbilt focused on the study of partial differential equations, particularly the elliptic and parabolic ones. He was a prolific writer, authoring more than 120 papers and six books. He served as editor-in-chief of the Journal on Mathematical Analysis of the Society for Industrial and Applied Mathematics. In addition, he was on more than twenty editorial boards and gave numerous invited talks. Ugo Gianazza is Professor of Mathematical Analysis at the Department of Mathematics F. Casorati of the University of Pavia. His research interests include Regularity for Elliptic and Parabolic Equations. In addition to editing numerous volumes, he also co-authored the 2012 monograph Harnack's Inequality for Degenerate and Singular Parabolic Equation.

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