An Introduction to Sobolev Spaces provides a brief introduction to Sobolev spaces at a simple level with illustrated examples. Readers will learn about the properties of these types of vector spaces and gain an understanding of advanced differential calculus and partial difference equations that are related to this topic. The contents of the book are suitable for undergraduate and graduate students, mathematicians, and engineers who have an interest in getting a quick, but carefully presented, mathematically sound, basic knowledge about Sobolev Spaces.
About the Editor:
Dr. Baver Okutmustur is an Associate Professor in Department of Mathematics, Middle East Technical University. He has done his Ph.D from the Université Pierre et Marie Curie (Paris 6), in Laboratory Jacques-Louis Lions(LJLL), 2010. Title of thesis were Finite volume methods for non-linear hyperbolic conservation laws on manifolds and for M.S thesis: Reproducing kernel Hilbert spaces
His main research interests are Mathematical Physics, Hyperbolic conservation laws, Finite volume methods, Partial differential equations and General Relativity respectively.
Dr Erhan Piskin is a Turkish engineering educator. Achievements include patents for carriers for nuclear imaging. Recipient Science award, Turkish Science and Technological Council, 2000. He was a member of Turkish Science and Technological Council, 2000—2008; and the member of Turkish Academy of Sciences (Ankara). He persuade his career as a Professor at Hacettepe University, Ankara, since 1988. He is in a Editorial board member for a Journal named as Tissue Engineering & Regenerative Medicine.
Keywords:
convergence in a metric space, weak convergence, Banach space, Hilbert space, Sobolev embedding theoremscompact embedding, logarithmic Sobolev inequality, Schwartz space, Plancherel theorem, variable exponent Lebesgue space, Luxemburg norm, variable exponent, Sobolev space, Lipschitz-continuous function.
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