Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download On Solutions Of Linear Partial Differential Equations Near Singular Places PDF full book. Access full book title On Solutions Of Linear Partial Differential Equations Near Singular Places.
| Author | : Paul Kimbrell Smith |
| Publisher | : |
| Total Pages | : 20 |
| Release | : 1933 |
| Genre | : Differential equations, Linear |
| ISBN | : |
| Author | : Raymond Gérard |
| Publisher | : Vieweg+Teubner Verlag |
| Total Pages | : 272 |
| Release | : 1996-01-01 |
| Genre | : Mathematics |
| ISBN | : 9783528066598 |
The aim of this book is to put together all the results that are known about the existence of formal, holomorphic and singular solutions of singular non linear partial differential equations.
| Author | : Walter A. Strauss |
| Publisher | : John Wiley & Sons |
| Total Pages | : 467 |
| Release | : 2007-12-21 |
| Genre | : Mathematics |
| ISBN | : 0470054565 |
Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
| Author | : Todor V. Gramchev |
| Publisher | : Wiley-VCH |
| Total Pages | : 160 |
| Release | : 2000-02-22 |
| Genre | : Mathematics |
| ISBN | : |
The applications of methods from microlocal analysis for PDE have been a fast developing area during the last years. The authors, both are well known in the community, publish for the first time some of their research results in a summarized form. The essential point of the approach is the use of the various types of approximate (asymptotic) solutions in the study of differential equations in the smooth and the Gevrey spaces. In this volume, the authors deal with the following themes: Microlocal properties of pseudodifferential operators with multiple characteristics of involutive type in the framework of the Sobolev spaces; Abstract schemes for constructing approximate solutions to linear partial differential equations with characteristics of constant multiplicity m greater than or equal 2 in the framework of Gevrey spaces; Local solvability, hypoellipticity and singular solutions in Gevrey spaces; Global Gevrey solvability on the torus for linear partial differential equations; Applications of asymptotic methods for local (non)solvability for quasihomogeneous operators; Applications of Airy asymptotic solutions to degenerate oblique derivative problems for second order strictly hyperbolic equations; Approximate Gevrey normal forms of analytic involutions and analytic glancing hypersurfaces with applications for effective stability estimates for billiard ball maps.
| Author | : Shuxing Chen |
| Publisher | : World Scientific |
| Total Pages | : 207 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 9814304832 |
The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs). It contains a summarization of the formation, development and main results on this topic. Some of the author's discoveries and original contributions are also included, such as the propagation of singularities of solutions to nonlinear equations, singularity index and formation of shocks.
| Author | : Ari Laptev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 404 |
| Release | : 2009-12-05 |
| Genre | : Mathematics |
| ISBN | : 1441913432 |
Topics of this volume are close to scientific interests of Professor Maz'ya and use, directly or indirectly, the fundamental influential Maz'ya's works penetrating, in a sense, the theory of PDEs. In particular, recent advantages in the study of semilinear elliptic equations, stationary Navier-Stokes equations, the Stokes system in convex polyhedra, periodic scattering problems, problems with perturbed boundary at a conic point, singular perturbations arising in elliptic shells and other important problems in mathematical physics are presented.
| Author | : Robert Hardt |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 356 |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : 9780821804315 |
This book contains lecture notes of minicourses at the Regional Geometry Institute at Park City, Utah, in July 1992. Presented here are surveys of breaking developments in a number of areas of nonlinear partial differential equations in differential geometry. The authors of the articles are not only excellent expositors, but are also leaders in this field of research. All of the articles provide in-depth treatment of the topics and require few prerequisites and less background than current research articles.
| Author | : C. W. Gear |
| Publisher | : |
| Total Pages | : 40 |
| Release | : 1963 |
| Genre | : Differential equations, Partial |
| ISBN | : |
| Author | : H.A. Antosiewicz |
| Publisher | : Academic Press |
| Total Pages | : 857 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483259137 |
International Conference on Differential Equations contains the proceedings of an International Conference on Differential Equations held at the University of Southern California, on September 3-7, 1974. The papers review advances in the qualitative-analytic theory of differential equations and highlight three broad areas: analytic theory (singular perturbations), qualitative theory (boundary value problems), and mathematical control theory (variational methods). Comprised of 82 chapters, this book begins with a discussion on continuous extensions, their construction, and their application in the theory of differential equations. The reader is then introduced to an approach to boundary control of partial differential equations based on the theory of semigroups of operators; lower closure and existence theorems in optimal control; and a nonlinear oscillation theorem. Subsequent chapters focus on matrices of rational functions; asymptotic integration of linear differential systems; solutions near bifurcated steady states; and geometric views in existence theory. This monograph will be of interest to students and instructors of mathematics.
| Author | : Gui-Qiang Chen |
| Publisher | : World Scientific |
| Total Pages | : 452 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9789810236649 |
This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In particular, the following are included: nonlinear conservation laws, semilinear elliptic equations, nonlinear hyperbolic equations, nonlinear parabolic equations, singular limit problems, and analysis of exact and numerical solutions. Important areas such as numerical analysis, relaxation theory, multiphase theory, kinetic theory, combustion theory, dynamical systems, and quantum field theory are also covered.
