Geometric Harmonic Analysis V: Fredholm Theory and Finer Estimates for Integral Operators, with Applications...

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Dorina Mitrea Irina Mitrea

Geometric Harmonic Analysis V

Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems...

Dorina Mitrea, Irina Mitrea, Marius Mitrea

$418.95 $334.98

Hardback

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Springer International Publishing AG
23 August 2023

Integral calculus & equations

Series: Developments in Mathematics

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.

By: Dorina Mitrea, Irina Mitrea, Marius Mitrea
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 2023 ed.
Volume: 76
Dimensions: Height: 235mm, Width: 155mm,
Weight: 1.676kg
ISBN: 9783031315602
ISBN 10: 303131560X
Series: Developments in Mathematics
Pages: 994
Publication Date: 23 August 2023
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Introduction and Statement of Main Results Concerning the Divergence Theorem.- Examples, Counterexamples, and Additional Perspectives.- Tools from Geometric Measure Theory, Harmonic Analysis, and functional Analysis.- Open Sets with Locally Finite Surface Measures and Boundary Behavior.- Proofs of the Main Results Pertaining to the Divergence Theorem.- Applications to Singular Integrals, Function Spaces, Boundary Problems, and Further Results.

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Geometric Harmonic Analysis V

Fredholm Theory and Finer Estimates for Integral Operators, with Applications to Boundary Problems...

Dorina Mitrea, Irina Mitrea, Marius Mitrea

$418.95 $334.98

Hardback

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