Author: Ferruccio ColombiniPublisher:
ISBN:
Category :
Languages : en
Pages : 24
Book Description
Uniqueness and Non-uniqueness in the Cauchy Problem for Degenerate Elliptic Operators
Author: Ferruccio ColombiniUniqueness and Non-Uniqueness in the Cauchy Problem
Author: ZuilyPublisher: Springer Science & Business Media
ISBN: 1489966560
Category : Science
Languages : en
Pages : 184
Book Description
Non-uniqueness in Cauchy's Problem for Differential Equations of Elliptic Type
Author: A. PlisPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 18
Book Description
Progress in Partial Differential Equations
Author: Michael ReissigPublisher: Springer Science & Business Media
ISBN: 3319001256
Category : Mathematics
Languages : en
Pages : 448
Book Description
Progress in Partial Differential Equations is devoted to modern topics in the theory of partial differential equations. It consists of both original articles and survey papers covering a wide scope of research topics in partial differential equations and their applications. The contributors were participants of the 8th ISAAC congress in Moscow in 2011 or are members of the PDE interest group of the ISAAC society. This volume is addressed to graduate students at various levels as well as researchers in partial differential equations and related fields. The readers will find this an excellent resource of both introductory and advanced material. The key topics are: • Linear hyperbolic equations and systems (scattering, symmetrisers) • Non-linear wave models (global existence, decay estimates, blow-up) • Evolution equations (control theory, well-posedness, smoothing) • Elliptic equations (uniqueness, non-uniqueness, positive solutions) • Special models from applications (Kirchhoff equation, Zakharov-Kuznetsov equation, thermoelasticity)
On Uniqueness in Cauchy Problems for Elliptic Systems of Equations
Author: Avron DouglisPublisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 48
Book Description
Second order elliptic operators with non smooth characteristics and the uniqueness of the Cauchy problem
Author: Claude ZuilyUniqueness Problems for Degenerating Equations and Nonclassical Problems
Author: S. P. ShishatskiiPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110920328
Category : Mathematics
Languages : en
Pages : 192
Book Description
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Second Order Elliptic Operators with Non Smooth Characteristics and the Uniqueness of the Cauchy Problem
Author: C. ZuilyThe Cauchy Problem for Solutions of Elliptic Equations
Author: Nikolaĭ Nikolaevich TarkhanovPublisher: De Gruyter Akademie Forschung
ISBN:
Category : Mathematics
Languages : en
Pages : 488
Book Description
The book is an attempt to bring together various topics in partial differential equations related to the Cauchy problem for solutions of an elliptic equation. Ever since Hadamard, the Cauchy problem for solutions of elliptic equations has been known to be ill-posed.
Degenerate Elliptic Equations
Author: Serge LevendorskiiPublisher: Springer Science & Business Media
ISBN: 9401712158
Category : Mathematics
Languages : en
Pages : 442
Book Description
This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, a priori estimates of solutions are derived, inequalities of the Grding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed. For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.