The Laplace Equation
Springer International Publishing (Verlag)
978-3-319-74306-6 (ISBN)
The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics.
This book is of interest to research students, as well as experts in partial differential equations and numerical analysis.
Doc. RNDr. Dagmar Medková (CSc) is a research fellow at the Czech Academy of Sciences' Institute of Mathematics.
Introduction.- 1 Preliminaries.- 2 Harmonic Functions.- 3 Solutions of the Poisson equation.- 4 PWB solutions of the Dirichlet problem.- 5 Lp-solutions of boundary value problems.- 6 Classical solutions of BVP.- 7 Solutions in Sobolev and Besov spaces.
"This book gives a very nice introduction to the modern theory of partial differential equations and it collects together the most relevant results in several theories related to the regularity theory and the boundary value problems on bounded and unbounded domains. The material is also accessible for experts in other fields and for doctoral students. Detailed arguments are given to several results that are difficult to find in the literature." (Juha K. Kinnunen, Mathematical Reviews, December, 2018)
“This book gives a very nice introduction to the modern theory of partial differential equations and it collects together the most relevant results in several theories related to the regularity theory and the boundary value problems on bounded and unbounded domains. The material is also accessible for experts in other fields and for doctoral students. Detailed arguments are given to several results that are difficult to find in the literature.” (Juha K. Kinnunen, Mathematical Reviews, December, 2018)
Erscheinungsdatum | 21.04.2018 |
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Zusatzinfo | XIII, 655 p. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 1163 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Schlagworte | Derivative Oblique Problem • Dirichlet problem • Neumann problem • Partial differential equations • Poisson equation • Robin problem • Transmission Problem |
ISBN-10 | 3-319-74306-6 / 3319743066 |
ISBN-13 | 978-3-319-74306-6 / 9783319743066 |
Zustand | Neuware |
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