Differential calculus and equations

The problem of spectral asymptotics, in particular the problem of the asymptotic dis- tribution of eigenvalues, is one of the central problems in the spectral theory of partial differential operators; moreover, it is very important for the general theory of partial differential operators.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Vaxjo, Sweden, on 14-18 August, 2017.

This book considers signal processing and physical modeling meth- ods for sound synthesis.

In this volume are twenty-eight papers from the Conference on Nonlinear Partial Differential Equationsin Engineering and Applied Science, sponsored by the Office of Naval Research and held at the Universityof Rhode Island in June, 1979.

This book is a collection of state-of-the-art surveys on various topics in mathematical finance, with an emphasis on recent modelling and computational approaches.

When I started giving talks on regularity theory for degenerate and sin- lar parabolic equations, a ?

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint.

Focusing on the mathematics, and providing only a minimum of explicatory comment, this volume contains six chapters covering auxiliary material, relatively p-radial operators, relatively p-sectorial operators, relatively -bounded operators, Cauchy problems for inhomogenous Sobolev-type equations, bounded solutions to Sobolev-type equations, and optimal control.

The book is an account on recent advances in elliptic and parabolic problems and related equations, including general quasi-linear equations, variational structures, Bose-Einstein condensate, Chern-Simons model, geometric shell theory and stability in fluids.

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities.

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017.

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry.

This second edition of Generalized Functions has been strengthened in many ways.

New Edition: Lipschitz Algebras (2nd Edition)The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(I ) and Linfinity(X), for I a compact Hausdorff space and X a I -finite measure space.

Research in the theory of trigonometric series has been carried out for over two centuries.

The main goal of this book is to provide an overview of the state of the art in the mathematical modeling of complex fluids, with particular emphasis on its thermodynamical aspects.

This monograph covers the existing results regarding Green's functions for differential equations with involutions (DEI).

Inverse Scattering Problems and Their Applications to Nonlinear Integrable Equations, Second Edition is devoted to inverse scattering problems (ISPs) for differential equations and their applications to nonlinear evolution equations (NLEEs).

This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October.

A unique introduction to the subject, reflecting different approaches to the integration of differential equations.

This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations.

This volume reflects the variety of areas where Maz'ya's results are fundamental, influential and/or pioneering.

This volume records and disseminates selected papers from the Stinson66 conference, including surveys, prospectives, and papers presenting original and current research.

The present monograph analyses the FitzHugh-Nagumo (F-N) model Le.

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques.

The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology.

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope.

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems.

Due to the fundamental role of differential equations in science and engineering it has long been a basic task of numerical analysts to generate numerical values of solutions to differential equations.

Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms.

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering.

This textbook accounts for two seemingly unrelated mathematical topics drawn from two separate areas of mathematics that have no evident points of contiguity.

Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities.

Master essential business mathematics skills with comprehensive explanations and practical examples.

This monograph focuses on the well-posedness of the Cauchy problem for linear hyperbolic systems with matrix coefficients.

This book gathers peer-reviewed, selected contributions from participants of the 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), hosted virtually from June 17-19, 2022.

Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrodinger equation on the half line with the general selfadjoint boundary condition.

The book takes a problem solving approach in presenting the topic of differential equations.

This book provides a self-contained introduction to the theory of infinite-dimensional systems theory and its applications to port-Hamiltonian systems.

This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations.