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Linear and Semilinear Partial Differential Equations: An Introduction Radu Precup

Linear and Semilinear Partial Differential Equations: An Introduction

Radu Precup

Published December 6th 2012
ISBN : 9783110269055
ebook
282 pages
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 About the Book 

This textbook provides a brief and lucid introduction to the theory of linear partial differential equations. It clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions. The solution operators associated to non-homogeneous equations are used to make transition to the theory of nonlinear PDEs. Organized on three parts, this material is suitable for three one-semester courses, a beginning one in the frame of classical analysis, a more advanced course in modern theory and a master course in semi-linear equations.