Current Research in Nonlinear Analysis

In Honor of Haim Brezis and Louis Nirenberg

Buch | Softcover

X, 360 Seiten

2019 | 1. Softcover reprint of the original 1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-07861-4 (ISBN)

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Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader's understanding of theories, methods, and techniques utilized to solve significant problems.

Topics include:

Sobolev Spaces
Maximal monotone operators
A theorem of Brezis-Nirenberg
Operator-norm convergence of the Trotter product formula
Elliptic operators with infinitely many variables
Pseudo-and quasiconvexities for nonsmooth function
Anisotropic surface measures
Eulerian and Lagrangian variables
Multiple periodic solutions of Lagrangian systems
Porous medium equation
Nondiscrete Lassonde-Revalski principle

Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg's fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.

Chapter 01- Anisotropic surface measures as limits of volume fractions.- Chapter 02- Failure of the chain rule in the non steady two-dimensional setting.- Chapter 03- On the maximality of the sum of two maximal monotone operators.- Chapter 04- Analysis and simulation of a model of phosphorus uptake by plant roots.- Chapter 05- Elliptic operators with infinitely many variables.- Chapter 06- On generalized pseudo-and quasiconvexities for nonsmooth function.- Chapter 07- On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system.- Chapter 08- Sum-intersection property of Sobolev spaces.- Chapter 09- Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey.- Chapter 10- Multiple periodic solutions of Lagrangian systems of relativistic oscillators.- Chapter 11- Applications of a theorem of Brezis-Nirenberg.- Chapter 12- Porous medium equation with nonlocal pressure.- Chapter 13- Nondiscrete Lassonde-Revalski principle and dependent choice.

Erscheinungsdatum	18.03.2019
Reihe/Serie	Springer Optimization and Its Applications
Zusatzinfo	X, 360 p. 17 illus., 13 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	569 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Anisotropic surface measures • equivalence of Eulerian and Lagrangian variables • Haim Brezis • Lagrangian systems • Louis Nirenberg • Nondiscrete Lassonde-Revalski principle • Nonlinear Analysis. • Nonlinear Mathematics • non steady two-dimensional setting • open problems • Partial differential equations • Porous medium equation with nonlocal pressure • pseudo-and quasiconvexities • sum of two maximal monotone operators
ISBN-10	3-030-07861-2 / 3030078612
ISBN-13	978-3-030-07861-4 / 9783030078614
Zustand	Neuware