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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

Author: José Antonio Carrillo

Publisher: Springer

ISBN:

Category: Mathematics

Page: 280

View: 974

Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.

New Developments in the Analysis of Nonlocal Operators

Author: Donatella Danielli

Publisher: American Mathematical Soc.

ISBN:

Category: Differential equations

Page: 214

View: 707

This volume contains the proceedings of the AMS Special Session on New Developments in the Analysis of Nonlocal Operators, held from October 28–30, 2016, at the University of St. Thomas, Minneapolis, Minnesota. Over the last decade there has been a resurgence of interest in problems involving nonlocal operators, motivated by applications in many areas such as analysis, geometry, and stochastic processes. Problems represented in this volume include uniqueness for weak solutions to abstract parabolic equations with fractional time derivatives, the behavior of the one-phase Bernoulli-type free boundary near a fixed boundary and its relation to a Signorini-type problem, connections between fractional powers of the spherical Laplacian and zeta functions from the analytic number theory and differential geometry, and obstacle problems for a class of not stable-like nonlocal operators for asset price models widely used in mathematical finance. The volume also features a comprehensive introduction to various aspects of the fractional Laplacian, with many historical remarks and an extensive list of references, suitable for beginners and more seasoned researchers alike.

Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

Author: José M. Mazón

Publisher: Springer

ISBN:

Category:

Page:

View: 514

Current Research in Nonlinear Analysis

In Honor of Haim Brezis and Louis Nirenberg

Author: Themistocles M. Rassias

Publisher: Springer

ISBN:

Category: Mathematics

Page: 360

View: 529

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.

Geometry of PDEs and Related Problems

Author: Xavier Cabré

Publisher: Springer

ISBN:

Category:

Page:

View: 780

Chemical Abstracts

Author:

Publisher:

ISBN:

Category: Chemistry

Page:

View: 338

Mathematical Reviews

Author:

Publisher:

ISBN:

Category: Mathematics

Page:

View: 114

Postconference Digest

Author:

Publisher:

ISBN:

Category: Quantum electronics

Page:

View: 197

Applied Physics

Photophysics and laser chemistry. B

Author:

Publisher:

ISBN:

Category: Lasers in biochemistry

Page:

View: 282

Technical Digest

Summaries of Papers Presented at the International Quantum Electronics Conference

Author:

Publisher:

ISBN:

Category: Quantum electronics

Page:

View: 860

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