The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This proceedings volume reports on the progress in analysis, applications and computation in recent years as covered and discussed at the 7th ISAAC Congress. This volume includes papers on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine....
The International Society for Analysis, its Applications and Computation (ISAAC) has held its international congresses biennially since 1997. This pro...
In this work dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficients with lower order terms are considered. The global time decay estimates of Lp-Lq norms of propagators are analysed in detail and it is described how the time decay rates depend on the geometry of the problem. For these purposes, the frequency space is separated in several zones each giving a certain decay rate. Geometric conditions on characteristics responsible for the particular decay are presented.Published by Mathematical Society of Japan...
In this work dispersive and Strichartz estimates for solutions to general strictly hyperbolic partial differential equations with constant coefficient...
The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.
The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source o...
Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent advances in the area in order to allow a quick overview of ongoing research. The contributors are first rate mathematicians. This collection of research papers is centred around parametrix constructions and microlocal analysis; asymptotic constructions of solutions; energy and dispersive estimates; and associated spectral transforms. Applications concerning elasticity and general relativity complement the volume. The book gives an overview of a...
Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect some recent a...
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society.
This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find...
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both ...
The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions from authors from a large variety of countries on different aspects of partial differential equations, such as evolution equations and estimates for their solutions, control theory, inverse problems, nonlinear equations, elliptic theory on singular domains, numerical approaches.
The book provides a quick overview of a wide range of active research areas in partial differential equations. The book can serve as a useful source o...
This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference "Fourier Analysis and Pseudo-Differential Operators," June 25-30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of...
This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory ...
David V. Cruz-Uribe Alberto Fiorenza Michael Ruzhansky
Divided into two parts, this book targets graduate students and researchers who want to learn about variable Lebesgue spaces and partial differential equations. Part I provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces likethe classical Lebesgue spaces but with the constant exponent replaced by an exponent function. These spaces arise naturally in the study of partial differential equations and variational integrals with non-standard growth conditions. They have applications to electrorheological fluids in physics and to image reconstruction. Part IIof...
Divided into two parts, this book targets graduate students and researchers who want to learn about variable Lebesgue spaces and partial differential ...
The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contributions treat recent developments in analysis and surrounding areas, concerning topics from the theory of partial differential equations, function spaces, scattering, probability theory, and others, as well as applications to biomathematics, queueing models, fractured porous media and geomechanics.
The book includes lectures given by the plenary and key speakers at the 9th International ISAAC Congress held 2013 in Krakow, Poland. The contribution...
This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Krakow, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:
- Differential Equations: Complex and Functional Analytic Methods
- Nonlinear PDE
- Qualitative Properties of Evolution Models
- Differential and Difference Equations
- Toeplitz Operators
- Wavelet Theory
- Topological and Geometrical Methods of...
This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Krakow, Poland. The papers are devoted to recent resu...
