This monograph presents a comprehensive, self-contained, and novel
approach to the Divergence Theorem through five progressive
volumes. Its ultimate aim is to develop tools in Real and Harmonic
Analysis, of geometric measure theoretic flavor, capable of
treating a broad spectrum of boundary value problems formulated in
rather general geometric and analytic settings. The text is
intended for researchers, graduate students, and industry
professionals interested in applications of harmonic analysis and
geometric measure theory to complex analysis, scattering, and
partial differential equations. The ultimate goal in Volume V is to
prove well-posedness and Fredholm solvability results concerning
boundary value problems for elliptic second-order homogeneous
constant (complex) coefficient systems, and domains of a rather
general geometric nature. The formulation of the boundary value
problems treated here is optimal from a multitude of points of
view, having to do with geometry, functional analysis (through the
consideration of a large variety of scales of function spaces),
topology, and partial differential equations.
General
Imprint: |
Springer International Publishing AG
|
Country of origin: |
Switzerland |
Series: |
Developments in Mathematics, 76 |
Release date: |
August 2023 |
First published: |
2023 |
Authors: |
Dorina Mitrea
• Irina Mitrea
• Marius Mitrea
|
Dimensions: |
235 x 155mm (L x W) |
Pages: |
994 |
Edition: |
1st ed. 2023 |
ISBN-13: |
978-3-03-131560-2 |
Categories: |
Books
|
LSN: |
3-03-131560-X |
Barcode: |
9783031315602 |
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