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Evolution PDEs with Nonstandard Growth Conditions

2015-04-01 Mathematics
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Release : 2015-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 122/5 ( reviews)

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Book Synopsis Evolution PDEs with Nonstandard Growth Conditions by : Stanislav Antontsev

Download or read book Evolution PDEs with Nonstandard Growth Conditions written by Stanislav Antontsev. This book was released on 2015-04-01. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers the reader a treatment of the theory of evolution PDEs with nonstandard growth conditions. This class includes parabolic and hyperbolic equations with variable or anisotropic nonlinear structure. We develop methods for the study of such equations and present a detailed account of recent results. An overview of other approaches to the study of PDEs of this kind is provided. The presentation is focused on the issues of existence and uniqueness of solutions in appropriate function spaces and on the study of the specific qualitative properties of solutions, such as localization in space and time, extinction in a finite time and blow-up, or nonexistence of global in time solutions. Special attention is paid to the study of the properties intrinsic to solutions of equations with nonstandard growth.

Anomalies in Partial Differential Equations

2021-02-03 Mathematics
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Release : 2021-02-03
Genre : Mathematics
Kind : eBook
Book Rating : 461/5 ( reviews)

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Book Synopsis Anomalies in Partial Differential Equations by : Massimo Cicognani

Download or read book Anomalies in Partial Differential Equations written by Massimo Cicognani. This book was released on 2021-02-03. Available in PDF, EPUB and Kindle. Book excerpt: The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.

Dynamical Systems and Differential Geometry via MAPLE

2021-10-01 Mathematics
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Release : 2021-10-01
Genre : Mathematics
Kind : eBook
Book Rating : 951/5 ( reviews)

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Book Synopsis Dynamical Systems and Differential Geometry via MAPLE by : Constantin Udriste

Download or read book Dynamical Systems and Differential Geometry via MAPLE written by Constantin Udriste. This book was released on 2021-10-01. Available in PDF, EPUB and Kindle. Book excerpt: The area of dynamical systems and differential geometry via MAPLE is a field which has become exceedingly technical in recent years. In the field, everything is structured for the benefit of optimizing evolutionary geometric aspects that describe significant physical or engineering phenomena. This book is structured in terms of the importance, accessibility and impact of theoretical notions capable of shaping a future mathematician-computer scientist possessing knowledge of evolutionary dynamical systems. It provides a self-contained and accessible introduction for graduate and advanced undergraduate students in mathematics, engineering, physics, and economic sciences. This book is suitable for both self-study for students and professors with a background in differential geometry and for teaching a semester-long introductory graduate course in dynamical systems and differential geometry via MAPLE.

Recent Advances in Mathematical Analysis

2023-06-21 Mathematics
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Release : 2023-06-21
Genre : Mathematics
Kind : eBook
Book Rating : 217/5 ( reviews)

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Book Synopsis Recent Advances in Mathematical Analysis by : Anna Maria Candela

Download or read book Recent Advances in Mathematical Analysis written by Anna Maria Candela. This book was released on 2023-06-21. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.

New Trends in Analysis and Geometry

2020-01-24 Mathematics
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Release : 2020-01-24
Genre : Mathematics
Kind : eBook
Book Rating : 128/5 ( reviews)

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Book Synopsis New Trends in Analysis and Geometry by : Mohamed A. Khamsi

Download or read book New Trends in Analysis and Geometry written by Mohamed A. Khamsi. This book was released on 2020-01-24. Available in PDF, EPUB and Kindle. Book excerpt: This unique mathematical volume brings together geometers, analysts, differential equations specialists and graph-theorists to provide a glimpse on recent mathematical trends whose commonalities have hitherto remained, for the most part, unnoticed. The applied mathematician will be pleasantly surprised with the interpretation of a voting system in terms of the fixed points of a mapping given in the book, as much as the classical analyst will be enthusiastic to find detailed discussions on the generalization of the notion of metric space, in which the metric takes values on an abstract monoid. Classical themes on fixed point theory are adapted to the diverse setting of graph theory, thus uncovering a set of tools whose power and versatility will be appreciated by mathematicians working on either area. The volume also includes recent results on variable exponent spaces which reveal much-needed connections with partial differential equations, while the incipient field of variational inequalities on manifolds, also explored here, will be of interest to researchers from a variety of fields.

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