Primarily a book on partial differential equations with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The book also has an extensive historical section and the material that can be called fractional cal...Loe edasi...
Symmetries are a common feature of real-world phenomena in many fields, including physics, biology, materials science, and engineering. They can help understand the behavior of a system and optimize engineering designs. Nonlinear effects such as del...Loe edasi...
Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book starts from the basics but at the same time covers some of the exciting recent developments which can be explained without too many prerequisites....Loe edasi...
(Ilmumisaeg: 01-Nov-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470475253)
It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian...Loe edasi...
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations. These are concerned with the dynamics of the solution starting from initial data with compac...Loe edasi...
Primarily a book on partial differential equations with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The book also has an extensive historical section and the material that can be called fractional cal...Loe edasi...
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an inc...Loe edasi...
Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potenti...Loe edasi...
(Ilmumisaeg: 01-Feb-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470472450)
Primarily a book on partial differential equations with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The book also has an extensive historical section and the material that can be called fractional cal...Loe edasi...
The central topic of this book is the spectral theory of bounded and unbounded self-adjoint operators on Hilbert spaces. After introducing the necessary prerequisites in measure theory and functional analysis, the exposition focuses on operator theo...Loe edasi...
(Ilmumisaeg: 01-Nov-2022, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470466565)
The central topic of this book is the spectral theory of bounded and unbounded self-adjoint operators on Hilbert spaces. After introducing the necessary prerequisites in measure theory and functional analysis, the exposition focuses on operator theo...Loe edasi...
Consider a general linear Hamiltonian system tu JLu in a Hilbert space . We assume that L induces a bounded and symmetric bi-linear form L, on , which has only finitely many negative dimensions n (L). There is no restriction on the anti-self-dual op...Loe edasi...
(Ilmumisaeg: 30-Sep-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470443665)
Dyatlov and Zworski provide a broad introduction to the theory of scattering resonances, which appear in many branches of mathematics, physics, and engineering. They focus on mathematical techniques for studying scattering resonances, concentrati...Loe edasi...
(Ilmumisaeg: 30-Jun-2016, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821848418)
Because of certain independent developments in mathematics in recent years, a wide variety of problems in combinatorics, some of them long standing, can now be solved in terms of random matrix theory, say Baik, Deift, and Suidan. They describe in det...Loe edasi...
(Ilmumisaeg: 30-Jan-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821892114)
Berkolaiko and Kuchment (Texas A&M) examine metric graphs equipped with differential operators, scattering on vertices, the spectral structure of quantum graph Hamiltonians, spectra of periodic graphs, and the spectrum theory of quantum graphs. The l...Loe edasi...
The breadth of Rosenbergs mathematical interests is reflected in the range of topics engaged by the 15 papers. They include a duality for the double fibration transform, K-theories for classes of infinite rank bundles, a C*-algebra approach to the i...Loe edasi...
The school is designed to introduce young researchers to current topics in mathematical physics that involve the analytical setting and a dose of physical intuition. Nine lectures consider such topics as kinetic theory and the Kac master equation, ma...Loe edasi...
The 15 research and review papers explore areas of mathematics that Moscovici (Ohio State U.-Columbus) has contributed significantly to. Among the topics are Dirac cohomology and nilpotent representations of complex groups, the Witt construction in c...Loe edasi...
(Ilmumisaeg: 15-Jul-2011, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821853160)
In the 1986 first edition, Ukrainian mathematician Marchenko focused on methods for solving the inverse problem of spectral analysis and on the necessary and sufficient conditions that the spectral data must satisfy in order to make it possible to re...Loe edasi...
This volume is an outgrowth of the international workshop entitled Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations held at York University on August 4-8, 2008. It consists of the expository paper based on the 6-ho...Loe edasi...
