Download or read book The Cauchy Goursat Problem written by Paul DuChateau and published by American Mathematical Soc.. This book was released on 1972 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cauchy Goursat Problem written by Paul DuChateau and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mixed and Cauchy Goursat Problems in Several Time Variables written by Alexander Brenner and published by . This book was released on 1999 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Cauchy s Problem in Linear Partial Differential Equations written by Jacques Hadamard and published by . This book was released on 1923 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Cauchy Problem written by Sigeru Mizohata and published by Academic Press. This book was released on 2014-05-10 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume 3: On the Cauchy Problem focuses on the processes, methodologies, and mathematical approaches to Cauchy problems. The publication first elaborates on evolution equations, Lax-Mizohata theorem, and Cauchy problems in Gevrey class. Discussions focus on fundamental proposition, proof of theorem 4, Gevrey property in t of solutions, basic facts on pseudo-differential, and proof of theorem 3. The book then takes a look at micro-local analysis in Gevrey class, including proof and consequences of theorem 1. The manuscript examines Schrödinger type equations, as well as general view-points on evolution equations. Numerical representations and analyses are provided in the explanation of these type of equations. The book is a valuable reference for mathematicians and researchers interested in the Cauchy problem.
Download or read book Generalized Goursat Problem for a Hyperbolic System written by Robert P.. Holten and published by . This book was released on 1958 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Existence of Solutions for Generalized Cauchy Goursat Type Problems for Hyperbolic Equations written by Eduardo A. Luna and published by . This book was released on 1973 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Partial Differential Equations in Classical Mathematical Physics written by Isaak Rubinstein and published by Cambridge University Press. This book was released on 1998-04-28 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unique feature of this book is that it considers the theory of partial differential equations in mathematical physics as the language of continuous processes, that is, as an interdisciplinary science that treats the hierarchy of mathematical phenomena as reflections of their physical counterparts. Special attention is drawn to tracing the development of these mathematical phenomena in different natural sciences, with examples drawn from continuum mechanics, electrodynamics, transport phenomena, thermodynamics, and chemical kinetics. At the same time, the authors trace the interrelation between the different types of problems - elliptic, parabolic, and hyperbolic - as the mathematical counterparts of stationary and evolutionary processes. This combination of mathematical comprehensiveness and natural scientific motivation represents a step forward in the presentation of the classical theory of PDEs, one that will be appreciated by both students and researchers alike.
Download or read book Student Study Guide to Accompany A First Course in Complex Analysis with Applications written by Shanahan and published by Jones & Bartlett Publishers. This book was released on 2009-09-29 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Student Study Guide to Accompany A First Course in Complex Analysis, Second Edition is designed to help you get the most out of your Complex Analysis course. It includes chapter-by-chapter, and section-by-section, detailed summaries of key points and terms found within the main text. Review Sections form selected topics in calculus and differential equations allow you to confirm your understanding of the prerequisite material necessary to succeed in the course. Complete worked solutions, with two-color figures, are provided form every other odd exercise and include references to equations, definitions, theorems, and figures in the text. This useful learning tool engages you to assess your progress and understanding while encouraging you to find solutions on your own. Students, Use This Guide To: - Review and confirm your understanding of prerequisite material. - Revisit key points and terms discussed within each chapter. - Check answers to selected exercises - Prepare for future material
Download or read book Generalized Goursat Problem for a Hyperbolic System written by Robert Peter Holten and published by . This book was released on 1958 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Cauchy Problem for the Linearised Einstein Equation and the Goursat Problem for Wave Equations written by Oliver Lindblad Petersen and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we study two initial value problems arising in general relativity. The first is the Cauchy problem for the linearised Einstein equation on general globally hyperbolic spacetimes, with smooth and distributional initial data. We extend well-known results by showing that given a solution to the linearised constraint equations of arbitrary real Sobolev regularity, there is a globally defined solution, which is unique up to addition of gauge solutions. Two solutions are considered equivalent if they differ by a gauge solution. Our main result is that the equivalence class of solutions depends continuously on the corre- sponding equivalence class of initial data. We also solve the linearised constraint equations in certain cases and show that there exist arbitrarily irregular (non-gauge) solutions to the linearised Einstein equation on Minkowski spacetime and Kasner spacetime. In the second part, we study the Goursat problem (the characteristic Cauchy problem) for wave equations. We specify initial data on a smooth compact...
Download or read book Cauchy Goursat Problem for Hyper Quasilinear Hyperbolic Systems written by Duplex Elvis Houpa Danga and published by . This book was released on 2018 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smoothness results are estalished for hyper quasilinear systems of second order with data on two intersecting null hypersurfaces.Problème de Cauchy-Goursat pour des systèmes hyper quasi-linéaires hyperboliquesRésumé Des résultats de régularité sont établis pour des systèmes hyper quasi-linéaires hyperboliques du second ordre à données sur deux hypersurfaces caractéristiques sécantes.
Download or read book STABILITY AND CONVERGENCE FOR A NUMERICAL SOLUTION OF THE GOURSAT PROBLEM written by RALPH THEODORE DAMES and published by . This book was released on 1957 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Global and Local Goursat Problems for Functions of Gevrey Lednev Nature written by Jan Persson and published by . This book was released on 1967 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On a Class of Singular Cauchy Problems written by Jan Derk Siersma and published by . This book was released on 1979 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Student Study Guide to Accompany A First Course in Complex Analysis with Applications written by Patrick D. Shanahan and published by Jones & Bartlett Publishers. This book was released on 2009-09-29 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Student Study Guide to Accompany A First Course in Complex Analysis, Second Edition is designed to help you get the most out of your Complex Analysis course. It includes chapter-by-chapter, and section-by-section, detailed summaries of key points and terms found within the main text. Review Sections form selected topics in calculus and differential equations allow you to confirm your understanding of the prerequisite material necessary to succeed in the course. Complete worked solutions, with two-color figures, are provided form every other odd exercise and include references to equations, definitions, theorems, and figures in the text. This useful learning tool engages you to assess your progress and understanding while encouraging you to find solutions on your own. Students, Use This Guide To: - Review and confirm your understanding of prerequisite material. - Revisit key points and terms discussed within each chapter. - Check answers to selected exercises - Prepare for future material
Download or read book A Collection of Problems on the Equations of Mathematical Physics written by Andreĭ Vasilʹevich Bit︠s︡adze and published by . This book was released on 1980 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: