ENGLISH

A Compact Course on Linear PDEs

By Alberto Valli

Book information

Publisher
Springer Nature Switzerland
Year
2021
ISBN
9783030582043, 9783030582050
Language
english
Format
PDF
Filesize
3 MB (2845168 bytes)
Series
UNITEXT 126
Edition
1
Pages
235\238
Topic
Mathematics\\Differential Equations
Time added
2021-01-12 21:04:38
Partial Differential EquationsPDE

Description

This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including some basic results on Fredholm alternative and spectral theory, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, saddle point problems, parabolic equations and hyperbolic equations. Many exercises are added, and the complete solution of all of them is included. The work is mainly addressed to students in Mathematics, but also students in Engineering with a good mathematical background should be able to follow the theory presented here.

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