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Partial Differential Equations and Boundary Value Problems (Mathematics and Its Applications) by Viorel Barbu is a nonfiction available to read on EtoBox.

What is Partial Differential Equations and Boundary Value Problems (Mathematics and Its Applications) about?

The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was marked by two decisive steps. Undoubtedly, the first one was the Fredholm proof in 1900 of the existence of solutions to Dirichlet and Neumann problems, which represented a triumph of the classical theory of partial differential equations. The second step is due to S. 1. Sobolev (1937) who introduced the concept of weak solution in partial differential equations and inaugurated the modern theory of boundary value problems. The classical theory which is a product ofthe nineteenth century, is concerned with smooth (continuously differentiable) sollutions and its methods rely on classical analysis a

Who reads Partial Differential Equations and Boundary Value Problems (Mathematics and Its Applications)?

Author

Viorel Barbu

Publisher

Springer-Verlag New York, LLC

Published

2010

Language

EN

ISBN

9789401591171

Category

nonfiction

Subjects

Mathematics, Stem