Equations of Mixed Type

Equations of Mixed Type
Author: Modest Mikha_lovich Smirnov
Publisher: American Mathematical Soc.
Total Pages: 244
Release: 1978-12-31
Genre: Mathematics
ISBN: 9780821886724

Equations of the Mixed Type

Equations of the Mixed Type
Author: A. V. Bitsadze
Publisher: Elsevier
Total Pages: 177
Release: 2014-05-16
Genre: Mathematics
ISBN: 1483164861

Equations of the Mixed Type compiles a series of lectures on certain fundamental questions in the theory of equations of mixed type. This book investigates the series of problems concerning linear partial differential equations of the second order in two variables, and possessing the property that the type of the equation changes either on the boundary of or inside the considered domain. Topics covered include general remarks on linear partial differential equations of mixed type; study of the solutions of second order hyperbolic equations with initial conditions given along the lines of parabolicity; and study of the solutions of second order elliptic equations for a domain, the boundary of which includes a segment of the curve of parabolic degeneracy. The problem of Tricomi and other mixed problems are also deliberated in this text. This publication is a good reference for students and researchers conducting work on the theory of equations of mixed type.

Lecture Notes on Mixed Type Partial Differential Equations

Lecture Notes on Mixed Type Partial Differential Equations
Author: John Michael Rassias
Publisher: World Scientific
Total Pages: 160
Release: 1990
Genre: Mathematics
ISBN: 9789810204068

This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.

Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types

Linear and Quasilinear Complex Equations of Hyperbolic and Mixed Types
Author: Guo Chun Wen
Publisher: CRC Press
Total Pages: 272
Release: 2002-08-22
Genre: Mathematics
ISBN: 0203166582

This volume deals with first and second order complex equations of hyperbolic and mixed types. Various general boundary value problems for linear and quasilinear complex equations are investigated in detail. To obtain results for complex equations of mixed types, some discontinuous boundary value problems for elliptic complex equations are discusse

Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy

Elliptic, Hyperbolic and Mixed Complex Equations with Parabolic Degeneracy
Author: Guo Chun Wen
Publisher: World Scientific
Total Pages: 453
Release: 2008
Genre: Mathematics
ISBN: 9812779426

In the fishing community of Fjallbacka, life is remote, peaceful, and for some, tragically short. Foul play was always suspected in the disappearance twenty years ago of two young campers, but their bodies were never found. But now, a young boy out playing has confirmed the grim truth. Their remains are discovered alongside those of a fresh victim, sending the tiny town into shock. Local detective Patrik Hedstrom, expecting a baby with his girlfriend Erica, can only imagine what it is like to lose a child. When a second young girl goes missing, Hedstrom's attention focuses on the Hults, a feuding clan of misfits, religious fanatics and criminals. The suspect list is long but time is short which of this family's dark secrets will provide the vital clue? Praise for The Ice Princess : The hottest crime genre of the moment is Nordic noir and Swedish writer Camilla Luckberg (who shares Stieg Larsson's translator) is one of the reasons. As with all Scandinavian murder mysteries, it's darker, bleaker, and the plot far more sinister than similar American fare. Larsson fans who give Luckberg's novel a chance to seduce them will be rewarded. USA Today At the start of Luckberg's haunting U.S. debut, biographer Erica Falck feels compelled to write a novel about why her beautiful friend Alex would kill herself. Luckberg skillfully details how horrific secrets are never completely buried and how silence can kill the soul." Publishers Weekly , starred review Camilla Luckberg has written seven blockbuster novels in her native Swedish but, until now, no one has published any of them in the United States. Now Pegasus Books has stepped forward.â¿ â¿¿ The New York Times Heart-stopping a masterclass in Scandinavian crime fiction." Val McDermid

Mixed Type Partial Differential Equations, Lecture Notes On

Mixed Type Partial Differential Equations, Lecture Notes On
Author: Rassias John Michael
Publisher: World Scientific Publishing Company
Total Pages: 152
Release: 1990-08-30
Genre: Mathematics
ISBN: 9813103647

This book discusses various parts of the theory of mixed type partial differential equations with boundary conditions such as: Chaplygin's classical dynamical equation of mixed type, the theory of regularity of solutions in the sense of Tricomi, Tricomi's fundamental idea and one-dimensional singular integral equations on non-Carleman type, Gellerstedt's characteristic problem and Frankl's non-characteristic problem, Bitsadze and Lavrentjev's mixed type boundary value problems, quasi-regularity of solutions in the classical sense. Some of the latest results of the author are also presented in this book.

Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations

Forward and Inverse Problems for Hyperbolic, Elliptic and Mixed Type Equations
Author: Alexander G. Megrabov
Publisher: Walter de Gruyter
Total Pages: 244
Release: 2012-05-24
Genre: Mathematics
ISBN: 3110944987

Inverse problems are an important and rapidly developing direction in mathematics, mathematical physics, differential equations, and various applied technologies (geophysics, optic, tomography, remote sensing, radar-location, etc.). In this monograph direct and inverse problems for partial differential equations are considered. The type of equations focused are hyperbolic, elliptic, and mixed (elliptic-hyperbolic). The direct problems arise as generalizations of problems of scattering plane elastic or acoustic waves from inhomogeneous layer (or from half-space). The inverse problems are those of determination of medium parameters by giving the forms of incident and reflected waves or the vibrations of certain points of the medium. The method of research of all inverse problems is spectral-analytical, consisting in reducing the considered inverse problems to the known inverse problems for the Sturm-Liouville equation or the string equation. Besides the book considers discrete inverse problems. In these problems an arbitrary set of point sources (emissive sources, oscillators, point masses) is determined.

The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type
Author: Thomas H. Otway
Publisher: Springer
Total Pages: 219
Release: 2012-01-06
Genre: Mathematics
ISBN: 3642244157

Partial differential equations of mixed elliptic-hyperbolic type arise in diverse areas of physics and geometry, including fluid and plasma dynamics, optics, cosmology, traffic engineering, projective geometry, geometric variational theory, and the theory of isometric embeddings. And yet even the linear theory of these equations is at a very early stage. This text examines various Dirichlet problems which can be formulated for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data are prescribed on only part of the boundary) and closed boundary conditions (in which data are prescribed on the entire boundary) are both considered. Emphasis is on the formulation of boundary conditions for which solutions can be shown to exist in an appropriate function space. Specific applications to plasma physics, optics, and analysis on projective spaces are discussed. (From the preface)