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Partial Differential Equations: A Unified Hilbert Space Approach

by Rainer Picard , Des McGhee
Save 17% Save 17%
Current price ₹22,046.00
Original price ₹26,456.00
Original price ₹26,456.00
Original price ₹26,456.00
(-17%)
₹22,046.00
Current price ₹22,046.00

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Book cover type: Hardcover
  • ISBN13: 9783110250268
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 487
  • Original Price: GBP 173.5
  • Language: English
  • Edition: N/A
  • Item Weight: 971 grams
  • BISAC Subject(s): Transformations

This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev lattice structure, a simple extension of the well-established notion of a chain (or scale) of Hilbert spaces.

The focus on a Hilbert space setting (rather than on an apparently more general Banach space) is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations.

In contrast to other texts on partial differential equations, which consider either specific equation types or apply a collection of tools for solving a variety of equations, this book takes a more global point of view by focusing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can be naturally developed. Applications to many areas of mathematical physics are also presented.

The book aims to be largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and also for researchers, who will find new results for particular evolutionary systems from mathematical physics.

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