Based on a course taught at Michigan State University, this work offers an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. The purpose of the course and the book is to give students a rapid and solid research-oriented foundation in areas of PDEs, such as semilinear parabolic equations, that include studies of the stability of fluid flows and of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.
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The book is very readily written and we can recommend it for a graduate course in semigroup theory. -- Mathematics Abstracts
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Applied Functional Analysis and PDE,
By Milan Miklavcic (East Lansing, Michigan) - See all my reviews
This review is from: Applied Functional Analysis and Partial Differential Equations (Hardcover)
This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which PDEs require. This material is intended for second year graduate students of mathematics and is based on a course taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to give students a rapid and solid research-oriented foundation in areas of PDEs, like semilinear parabolic equations, that include studies of the stability of fluid flows and, more generally, of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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contour that surrounds, normalized tangent functional, accretive linear operator, sectorial operator, sectorial forms, nonempty metric space, strongly continuous semigroup, semilinear parabolic equations, cone property, compact resolvent, densely defined linear operator, resolvent identity, spectral set, resolvent set, nonempty open set, contraction semigroup, real subspace, inhomogeneous problem, complete orthonormal set, mild solution, continuous semigroups, whose generator, weak derivatives, nonlinear evolution equations, formal adjoint Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fubini Theorem, Arzela-Ascoli Theorem, Gronwall Theorem, Hahn-Banach Theorem, Hille-Yosida Theorem, Riesz Lemma, Applying the Fourier, Cauchy Theorem New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
contour that surrounds, normalized tangent functional, accretive linear operator, sectorial operator, sectorial forms, nonempty metric space, strongly continuous semigroup, semilinear parabolic equations, cone property, compact resolvent, densely defined linear operator, resolvent identity, spectral set, resolvent set, nonempty open set, contraction semigroup, real subspace, inhomogeneous problem, complete orthonormal set, mild solution, continuous semigroups, whose generator, weak derivatives, nonlinear evolution equations, formal adjoint Key Phrases - Capitalized Phrases (CAPs): (learn more)
Fubini Theorem, Arzela-Ascoli Theorem, Gronwall Theorem, Hahn-Banach Theorem, Hille-Yosida Theorem, Riesz Lemma, Applying the Fourier, Cauchy Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 20
books:
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1
book
cites this book:
- Sobolev spaces, Volume 65 (Pure and Applied Mathematics) by Author Unknown on page 135, and Back Matter
- Lectures on Partial Differential Equations: Lectures Delivered at the Indian Institute of Science, Bangalore, Under the T.I.F.R.-I.I. Sc. Programme in Applications of Mathematics by G. B. Folland in Back Matter
- Boundary Value Problems of Mathematical Physics (Proceedings of the Steklov Institute of Mathematics) by O. A. Ladyzhenskaya in Back Matter
- Perturbation Theory for Linear Operators (Classics in Mathematics) by Tosio Kato in Back Matter
- Principles of Functional Analysis (Graduate Studies in Mathematics) by Martin Schechter in Back Matter
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