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A Compact Course on Linear PDEs
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A Compact Course on Linear PDEs
Название: A Compact Course on Linear PDEs
Автор: Alberto Valli
Издательство: Springer
Год: 2020
Страниц: 238
Размер: 10,71 МБ
Формат: PDF
Язык: English

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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