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Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, Diego Marcon, Emanuel Indrei, Levon Nurbekyan


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Автор: Diego Marcon, Emanuel Indrei, Levon Nurbekyan
Название:  Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs
ISBN: 9781470466527
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 147046652X
Обложка/Формат: Paperback
Страницы: 135
Вес: 0.27 кг.
Дата издания: 31.05.2023
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 184 x 261 x 20
Ключевые слова: Calculus & mathematical analysis,Differential calculus & equations
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Поставляется из: Англии
Описание: This volume contains the proceedings of the virtual conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, held from February 28-March 1, 2021, and hosted by Purdue University, West Lafayette, IN.

The mathematical content of this volume is at the intersection of viscosity theory, Fourier analysis, mass transport theory, fractional elliptic theory, and geometric analysis. The reader will encounter, among others, the following topics: the principal-agent problem; Maxwells equations; Liouville-type theorems for fully nonlinear elliptic equations; a doubly monotone flow for constant width bodies; and the edge dislocations problem for crystals that describes the equilibrium configurations by a nonlocal fractional Laplacian equation.

Дополнительное описание: Differential calculus and equations|Calculus and mathematical analysis



Analytic Inequalities and Their Applications in Pdes

Автор: Qin Yuming
Название: Analytic Inequalities and Their Applications in Pdes
ISBN: 3319791257 ISBN-13(EAN): 9783319791258
Издательство: Springer
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Цена: 20733.00 р.
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Описание: These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations.

Analytic Inequalities and Their Applications in PDEs

Автор: Qin Yuming
Название: Analytic Inequalities and Their Applications in PDEs
ISBN: 3319008307 ISBN-13(EAN): 9783319008301
Издательство: Springer
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Цена: 15855.00 р.
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Описание: These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations.

Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes

Автор: Daxin Nie, Weihua Deng, Xudong Wang
Название: Functional Distribution Of Anomalous And Nonergodic Diffusion: From Stochastic Processes To Pdes
ISBN: 9811250499 ISBN-13(EAN): 9789811250491
Издательство: World Scientific Publishing
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Цена: 14256.00 р.
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Описание: This volume presents a pedagogical review of the functional distribution of anomalous and nonergodic diffusion and its numerical simulations, starting from the studied stochastic processes to the deterministic partial differential equations governing the probability density function of the functionals. Since the remarkable theory of Brownian motion was proposed by Einstein in 1905, it had a sustained and broad impact on diverse fields, such as physics, chemistry, biology, economics, and mathematics. The functionals of Brownian motion are later widely attractive for their extensive applications. It was Kac, who firstly realized the statistical properties of these functionals can be studied by using Feynman's path integrals.In recent decades, anomalous and nonergodic diffusions which are non-Brownian become topical issues, such as fractional Brownian motion, Levy process, Levy walk, among others. This volume examines the statistical properties of the non-Brownian functionals, derives the governing equations of their distributions, and shows some algorithms for solving these equations numerically.

Extremum Seeking Through Delays and PDEs

Автор: Miroslav Krstic, Tiago Roux Oliveira
Название: Extremum Seeking Through Delays and PDEs
ISBN: 1611977347 ISBN-13(EAN): 9781611977349
Издательство: Mare Nostrum (Eurospan)
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Цена: 14923.00 р.
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Описание: Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. Readers will find:

  • Numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed.
  • Extensions from single-player optimization to noncooperative games, under delays and pdes, are provided.
  • The delays and pdes are compensated in the control designs using the pde backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory.
  • Accessible and powerful tools for analysis.
This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.
Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

Автор: Elemer E. Rosinger
Название: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 9048150930 ISBN-13(EAN): 9789048150939
Издательство: Springer
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Цена: 15484.00 р.
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Описание: This book presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalised functions. Earlier, in part 3 of Oberguggenberger & Rosinger, Lie group actions were defined globally - in the projectable case - on the nowhere dense differential algebras of generalised functions An, as well as on the Colombeau algebras of generalised functions, and also on the spaces obtained through the order completion of smooth functions, spaces which contain the solutions of arbitrary continuous nonlinear PDEs. Further details can be found in Rosinger & Rudolph, and Rosinger & Walus 1,2]. To the extent that arbitrary Lie group actions are now defined on such nonsmooth entities as generalised functions, this result can be seen as giving an ans wer to Hilbert's fifth problem, when this problem is interpreted in its original full gener- ality, see for details chapter 11.

Fully Nonlinear PDEs in Real and Complex Geometry and Optics

Автор: Luca Capogna; Pengfei Guan; Cristian E. Guti?rrez;
Название: Fully Nonlinear PDEs in Real and Complex Geometry and Optics
ISBN: 3319009419 ISBN-13(EAN): 9783319009414
Издательство: Springer
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Цена: 4268.00 р.
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Описание:

Introduction.- L∞ extremal mappings in AMLE and Teichmьller theory.- Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear Pde's.- Refraction Problems In Geometric Optics.- On the Levi Monge-Ampиre equation.

Advances in Superprocesses and Nonlinear PDEs

Автор: Englander Janos
Название: Advances in Superprocesses and Nonlinear PDEs
ISBN: 1461462398 ISBN-13(EAN): 9781461462392
Издательство: Springer
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Цена: 13415.00 р.
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Описание: Sergei Kuznetsov is one of the top experts on measure valued branching processes (also known as "superprocesses") and their connection to nonlinear partial differential operators. His research interests range from stochastic processes and partial differential equations to mathematical statistics, time series analysis and statistical software;

Geometric Properties for Parabolic and Elliptic Pde`s

Автор: Ferone Vincenzo, Kawakami Tatsuki, Salani Paolo
Название: Geometric Properties for Parabolic and Elliptic Pde`s
ISBN: 3030733629 ISBN-13(EAN): 9783030733629
Издательство: Springer
Цена: 12196.00 р.
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Описание: This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

Energy Methods for Free Boundary Problems

Автор: S.N. Antontsev; J.I. Diaz; S. Shmarev
Название: Energy Methods for Free Boundary Problems
ISBN: 1461266076 ISBN-13(EAN): 9781461266075
Издательство: Springer
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Цена: 13677.00 р.
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Описание: The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox- ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999).

Optimal Transport for Applied Mathematicians: Calculus of Variations, Pdes, and Modeling

Автор: Santambrogio Filippo
Название: Optimal Transport for Applied Mathematicians: Calculus of Variations, Pdes, and Modeling
ISBN: 3319365819 ISBN-13(EAN): 9783319365817
Издательство: Springer
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Цена: 7927.00 р.
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Описание: This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations.

Studies in Phase Space Analysis with Applications to PDEs

Автор: Massimo Cicognani; Ferruccio Colombini; Daniele De
Название: Studies in Phase Space Analysis with Applications to PDEs
ISBN: 148999940X ISBN-13(EAN): 9781489999405
Издательство: Springer
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Цена: 18294.00 р.
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Описание: This book covers advances in linear and nonlinear aspects of the theory of partial differential equations. Includes general theory; Hardy-type inequalities; linear and non-linear hyperbolic equations; Schrodinger equations; water-wave equations and more.

New Tools for Nonlinear PDEs and Application

Автор: Marcello D`Abbicco; Marcelo Rempel Ebert; Vladimir
Название: New Tools for Nonlinear PDEs and Application
ISBN: 3030109364 ISBN-13(EAN): 9783030109363
Издательство: Springer
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Цена: 19514.00 р.
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Описание: This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions 'Recent progress in evolution equations' and 'Nonlinear PDEs' at the 12th ISAAC congress held in 2017 in V?xj?, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs.


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