Tools and problems in partial differential equations [Documento eletrónico] / by Thomas Alazard, Claude Zuily
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer, 2020Description: XII, 357 p. : il.ISBN: 978-3-030-50284-3.Series: UniversitextSubject - Topical Name: Mathematical analysis | Functional analysis | Fourier analysis | Potential theory (Mathematics) Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA299.6.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96541 |
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QA299.6.SPR FCT Smooth functions and maps | QA299.6.SPR FCT Fractional calculus, ICFDA 2018, Amman, Jordan, July 16-18 | QA299.6.SPR FCT A primer on mathematical modelling | QA299.6.SPR FCT Tools and problems in partial differential equations | QA299.6.SPR FCT Asymptotic theory of dynamic boundary value problems in irregular domains | QA299.6.SPR FCT Control of degenerate and singular parabolic equations, Carleman estimates and observability | QA299.6.SPR FCT Degree theory for discontinuous operators, applications to discontinuous differential equations |
This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations. Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory. Informed by the authors' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject.
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