Tag: Partial

Free Download Select Ideas in Partial Differential Equations
English | 2025 | ISBN: 3031599748 | 268 Pages | PDF (True) | 9 MB
This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamental linear partial differential equations of physics. The text continues with methods to understand and solve these equations leading ultimately to the solutions of Maxwell’s equations. The author then addresses nonlinearity and provides examples of separation of variables, linearizing change of variables, inverse scattering transform, and numerical methods for select nonlinear equations. Next, the book presents rich sources of advanced techniques and strategies for the study of nonlinear partial differential equations. This second edition includes updates, additional examples, and a new chapter on reaction-diffusion equations. Ultimately, this book is an essential resource for readers in applied mathematics, physics, chemistry, biology, and engineering who are interested in learning about the myriad techniques that have been developed to model and solve linear and nonlinear partial differential equations.

Free Download The Logic of Partial Information By Areski Nait Abdallah
1995 | 739 Pages | ISBN: 3642781624 | PDF | 20 MB
One must be able to say at all times – in stead of points, straight lines, and planes – tables, chairs and beer mugs. (David Hilbert) One service mathematics has rendered the human race. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled "discarded nonsense. " (Eric T. Bell) This book discusses reasoning with partial information. We investigate the proof theory, the model theory and some applications of reasoning with par tial information. We have as a goal a general theory for combining, in a principled way, logic formulae expressing partial information, and a logical tool for choosing among them for application and implementation purposes. We also would like to have a model theory for reasoning with partial infor mation that is a simple generalization of the usual Tarskian semantics for classical logic. We show the need to go beyond the view of logic as a geometry of static truths, and to see logic, both at the proof-theoretic and at the model-theoretic level, as a dynamics of processes. We see the dynamics of logic processes bear with classical logic, the same relation as the one existing between classical mechanics and Euclidean geometry.

Free Download An Introduction to Partial Differential Equations with MATLAB®: Third Edition
by Matthew P. Coleman
English | 2024 | ISBN: 1032639385 | 510 pages | True PDF | 232.46 MB

Free Download Partial Differential Operators and Mathematical Physics: International Conference in Holzhau, Germany, July 3’9, 1994 By Sergio Albeverio, Fan Ru-Zong (auth.), Prof. Michael Demuth, Prof. Dr. Bert-Wolfgang Schulze (eds.)
1995 | 430 Pages | ISBN: 3034899033 | PDF | 11 MB
The book contains the contributions to the conference on "Partial Differential Equations" held in Holzhau (Germany) in July 1994, where outstanding specialists from analysis, geometry and mathematical physics reviewed recent progress and new interactions in these areas. Topics of special interest at the conference and which now form the core of this volume are hyperbolic operators, spectral theory for elliptic operators, eta-invariant, singular configura- tions and asymptotics, Bergman-kernel, attractors of non-autonomous evolution equations, pseudo-differential boundary value problems, Mellin pseudo- differential operators, approximation and stability problems for elliptic operators, and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, N-body scattering, and number of bound states are considered. Schr?dinger operators are studied with magnetic fields, with random and with many-body potentials, and for nonlinear problems. In semigroup theory the Feller property, errors for product formulas, fractional powers of generators, and functional integration for relativistic semigroups are analyzed.

Free Download Potential Theory and Degenerate Partial Differential Operators By Marco Biroli, Umberto Mosco (auth.), Marco Biroli (eds.)
1995 | 185 Pages | ISBN: 9401040427 | PDF | 8 MB
Recent years have witnessed an increasingly close relationship growing between potential theory, probability and degenerate partial differential operators. The theory of Dirichlet (Markovian) forms on an abstract finite or infinite-dimensional space is common to all three disciplines. This is a fascinating and important subject, central to many of the contributions to the conference on `Potential Theory and Degenerate Partial Differential Operators’, held in Parma, Italy, February 1994.

Free Download Partial Stability and Control By V. I. Vorotnikov (auth.)
1996 | 430 Pages | ISBN: 1461286751 | PDF | 18 MB
Unlike the conventional research for the general theory of stability, this mono graph deals with problems on stability and stabilization of dynamic systems with respect not to all but just to a given part of the variables characterizing these systems. Such problems are often referred to as the problems of partial stability (stabilization). They naturally arise in applications either from the requirement of proper performance of a system or in assessing system capa bility. In addition, a lot of actual (or desired) phenomena can be formulated in terms of these problems and be analyzed with these problems taken as the basis. The following multiaspect phenomena and problems can be indicated: * "Lotka-Volterra ecological principle of extinction;" * focusing and acceleration of particles in electromagnetic fields; * "drift" of the gyroscope axis; * stabilization of a spacecraft by specially arranged relative motion of rotors connected to it. Also very effective is the approach to the problem of stability (stabilization) with respect to all the variables based on preliminary analysis of partial sta bility (stabilization). A. M. Lyapunov, the founder of the modern theory of stability, was the first to formulate the problem of partial stability. Later, works by V. V. Rumyan tsev drew the attention of many mathematicians and mechanicians around the world to this problem, which resulted in its being intensively worked out. The method of Lyapunov functions became the key investigative method which turned out to be very effective in analyzing both theoretic and applied problems.

Free Download Theory and Applications of Partial Functional Differential Equations By Jianhong Wu (auth.)
1996 | 432 Pages | ISBN: 1461284791 | PDF | 33 MB
Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

Free Download From Particle Systems to Partial Differential Equations
English | 2024 | ISBN: 3031651944 | 411 Pages | PDF EPUB (True) | 34 MB
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations X, which was held at the University of Minho, Braga, Portugal, from 2022. It includes papers on mathematical problems motivated by various applications in physics, engineering, economics, chemistry, and biology.

Free Download Analysis and Partial Differential Equations
English | 2024 | ISBN: 303170908X | 439 Pages | PDF (True) | 7 MB
The first three parts of the book cover functional analysis, harmonic analysis, and microlocal analysis. Each chapter is designed to provide readers with a solid understanding of fundamental concepts while guiding them through detailed proofs of significant theorems. These include the universal approximation property for artificial neural networks, Brouwer’s domain invariance theorem, Nash’s implicit function theorem, Calderón’s reconstruction formula and wavelets, Wiener’s Tauberian theorem, Hörmander’s theorem of propagation of singularities, and proofs of many inequalities centered around the works of Hardy, Littlewood, and Sobolev. The final part of the book offers an overview of the analysis of partial differential equations. This vast subject is approached through a selection of major theorems such as the solution to Calderón’s problem, De Giorgi’s regularity theorem for elliptic equations, and the proof of a Strichartz-Bourgain estimate. Several renowned results are included in the numerous examples.

Free Download Harmonic Analysis and Partial Differential Equations: Proceedings of the Workshop in Abidjan, Côte d’Ivoire, May 22-26, 2023 by Justin Feuto, Bérenger Akon Kpata
English | PDF EPUB (True) | 2024 | 273 Pages | ISBN : 3031663748 | 34.6 MB
This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Côte d’Ivoire from May 22-26, 2023. Chapters present surveys and recent research results from experts and cover a range of topics at the intersections of classical and abstract harmonic analysis, PDEs, and numerical analysis.