Nonlocal And Abstract Parabolic Equations And Their Applications PDF Download
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Author | : Piotr Mucha |
Publisher | : |
Total Pages | : 332 |
Release | : 2009 |
Genre | : Differential equations, Parabolic |
ISBN | : |
Download Nonlocal and Abstract Parabolic Equations and Their Applications Book in PDF, ePub and Kindle
Author | : Tatsien Li |
Publisher | : World Scientific |
Total Pages | : 334 |
Release | : 1999-08-31 |
Genre | : |
ISBN | : 9814543446 |
Download Nonlinear Evolution Equations And Their Applications - Proceedings Of The Luso-chinese Symposium Book in PDF, ePub and Kindle
This book discusses recent trends and developments in the area of nonlinear evolution equations. It is a collection of invited lectures on the following topics: nonlinear parabolic equations (systems); nonlinear hyperbolic systems; free boundary problems; conservation laws and shock waves; travelling and solitary waves; regularity, stability and singularity, etc.
Author | : Ciprian G. Gal |
Publisher | : Springer Nature |
Total Pages | : 193 |
Release | : 2020-09-23 |
Genre | : Mathematics |
ISBN | : 3030450430 |
Download Fractional-in-Time Semilinear Parabolic Equations and Applications Book in PDF, ePub and Kindle
This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology, whose research involves partial differential equations.
Author | : Donatella Danielli |
Publisher | : |
Total Pages | : 226 |
Release | : 2019 |
Genre | : Differential equations |
ISBN | : 9781470451516 |
Download New Developments in the Analysis of Nonlocal Operators Book in PDF, ePub and Kindle
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 bo.
Author | : Alessandra Lunardi |
Publisher | : Springer Science & Business Media |
Total Pages | : 452 |
Release | : 1995-01-27 |
Genre | : Mathematics |
ISBN | : 9783764351724 |
Download Analytic Semigroups and Optimal Regularity in Parabolic Problems Book in PDF, ePub and Kindle
The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived. The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques. - - - This very interesting book provides a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and how this theory may be used in the study of parabolic partial differential equations; it takes into account the developments of the theory during the last fifteen years. (...) For instance, optimal regularity results are a typical feature of abstract parabolic equations; they are comprehensively studied in this book, and yield new and old regularity results for parabolic partial differential equations and systems. (Mathematical Reviews) Motivated by applications to fully nonlinear problems the approach is focused on classical solutions with continuous or Hölder continuous derivatives. (Zentralblatt MATH)
Author | : Michael Hintermüller |
Publisher | : Springer Nature |
Total Pages | : 396 |
Release | : 2019-11-27 |
Genre | : Mathematics |
ISBN | : 3030331164 |
Download Topics in Applied Analysis and Optimisation Book in PDF, ePub and Kindle
This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.
Author | : Donatella Danielli |
Publisher | : American Mathematical Soc. |
Total Pages | : 214 |
Release | : 2019-02-21 |
Genre | : Differential equations |
ISBN | : 1470441101 |
Download New Developments in the Analysis of Nonlocal Operators Book in PDF, ePub and Kindle
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.
Author | : Robert Denk |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2013-11-22 |
Genre | : Mathematics |
ISBN | : 3319020005 |
Download General Parabolic Mixed Order Systems in Lp and Applications Book in PDF, ePub and Kindle
In this text, a theory for general linear parabolic partial differential equations is established which covers equations with inhomogeneous symbol structure as well as mixed-order systems. Typical applications include several variants of the Stokes system and free boundary value problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity) which is the key step for the treatment of nonlinear problems. The theory is based on the concept of the Newton polygon and can cover equations which are not accessible by standard methods as, e.g., semigroup theory. Results are obtained in different types of non-integer Lp-Sobolev spaces as Besov spaces, Bessel potential spaces, and Triebel–Lizorkin spaces. The last-mentioned class appears in a natural way as traces of Lp-Lq-Sobolev spaces. We also present a selection of applications in the whole space and on half-spaces. Among others, we prove well-posedness of the linearizations of the generalized thermoelastic plate equation, the two-phase Navier–Stokes equations with Boussinesq–Scriven surface, and the Lp-Lq two-phase Stefan problem with Gibbs–Thomson correction.
Author | : Vadim Adamyan |
Publisher | : Springer Science & Business Media |
Total Pages | : 518 |
Release | : 2009-08-29 |
Genre | : Mathematics |
ISBN | : 376439921X |
Download Modern Analysis and Applications Book in PDF, ePub and Kindle
This is the second of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.
Author | : Ivan Dimov |
Publisher | : Springer |
Total Pages | : 583 |
Release | : 2013-10-01 |
Genre | : Computers |
ISBN | : 3642415156 |
Download Numerical Analysis and Its Applications Book in PDF, ePub and Kindle
This book constitutes thoroughly revised selected papers of the 5th International Conference on Numerical Analysis and Its Applications, NAA 2012, held in Lozenetz, Bulgaria, in June 2012. The 65 revised papers presented were carefully reviewed and selected from various submissions. The papers cover a broad area of topics of interest such as numerical approximation and computational geometry; numerical linear algebra and numerical solution of transcendental equation; numerical methods for differential equations; numerical stochastics, numerical modeling; and high performance scientific computing.