Uniqueness And Non Uniqueness In The Cauchy Problem
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Uniqueness And Non Uniqueness In The Cauchy Problem
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Author : Zuily
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-21
Uniqueness And Non Uniqueness In The Cauchy Problem written by Zuily and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.
Uniqueness And Non Uniqueness In The Cauchy Problem
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Author : C. Zuily
language : en
Publisher:
Release Date : 2014-09-01
Uniqueness And Non Uniqueness In The Cauchy Problem written by C. Zuily and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Non Uniqueness In Cauchy S Problem
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Author : A. Plis
language : en
Publisher:
Release Date : 1959
Non Uniqueness In Cauchy S Problem written by A. Plis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Cauchy problem categories.
Lectures On Uniqueness And Non Uniqueness Of The Non Characteristic Cauchy Problem
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Author : Claude Zuily
language : en
Publisher:
Release Date : 1981
Lectures On Uniqueness And Non Uniqueness Of The Non Characteristic Cauchy Problem written by Claude Zuily and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Cauchy problem categories.
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations
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Author : Ratan Prakash Agarwal
language : en
Publisher: World Scientific
Release Date : 1993
Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations written by Ratan Prakash Agarwal and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.
On Uniqueness In Cauchy Problems For Elliptic Systems Of Equations
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Author : Avron Douglis
language : en
Publisher:
Release Date : 1960
On Uniqueness In Cauchy Problems For Elliptic Systems Of Equations written by Avron Douglis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Cauchy problem categories.
The Non Uniqueness Of The Cauchy Problem
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Author : Paul J. Cohen
language : en
Publisher:
Release Date : 1960
The Non Uniqueness Of The Cauchy Problem written by Paul J. Cohen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Cauchy problem categories.
A SYSTEMATIC TREATMENT OF THE PHENOMENON OF NONUNIQUENESS OF THE CAUCHY PROBLEM IS GIVEN. A +ROOF IS GIVEN THAT NON-UNIQUENESS MUST ALWAYS HOLD WHEN CERTAIN CONDITIONS ARE VIOLATED. FOR ELLIPTIC EQUATIONS, THE DEGREE OF CONTINUITY((WHICH CAN BE OBTAINED IS DESCRIBED EXACTLY. ALSO PRESENTED IS A NEW TYPE OF NON-UNIQUENES WHICH DOES NOT DEPEND UPONMULTIPLICITY OF THE CHARACTERISTICS, BUT UPON THE FACT THAT THE COEFFICIENTS OF THE PRINCIPAL PART ARE NOT REAL.
Instability And Non Uniqueness For The 2d Euler Equations After M Vishik
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Author : Camillo De Lellis
language : en
Publisher: Princeton University Press
Release Date : 2024-02-13
Instability And Non Uniqueness For The 2d Euler Equations After M Vishik written by Camillo De Lellis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-13 with Mathematics categories.
An essential companion to M. Vishik’s groundbreaking work in fluid mechanics The incompressible Euler equations are a system of partial differential equations introduced by Leonhard Euler more than 250 years ago to describe the motion of an inviscid incompressible fluid. These equations can be derived from the classical conservations laws of mass and momentum under some very idealized assumptions. While they look simple compared to many other equations of mathematical physics, several fundamental mathematical questions about them are still unanswered. One is under which assumptions it can be rigorously proved that they determine the evolution of the fluid once we know its initial state and the forces acting on it. This book addresses a well-known case of this question in two space dimensions. Following the pioneering ideas of M. Vishik, the authors explain in detail the optimality of a celebrated theorem of V. Yudovich from the 1960s, which states that, in the vorticity formulation, the solution is unique if the initial vorticity and the acting force are bounded. In particular, the authors show that Yudovich’s theorem cannot be generalized to the L^p setting.
Uniqueness And Non Uniqueness In The Cauchy Problem For Degenerate Elliptic Operators
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Author : Ferruccio Colombini
language : en
Publisher:
Release Date : 1990
Uniqueness And Non Uniqueness In The Cauchy Problem For Degenerate Elliptic Operators written by Ferruccio Colombini and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Carleman Estimates And Applications To Uniqueness And Control Theory
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Author : Feruccio Colombini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Carleman Estimates And Applications To Uniqueness And Control Theory written by Feruccio Colombini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The articles in this volume reflect a subsequent development after a scientific meeting entitled Carleman Estimates and Control Theory, held in Cartona in September 1999. The 14 research-level articles, written by experts, focus on new results on Carleman estimates and their applications to uniqueness and controlla bility of partial differential equations and systems. The main topics are unique continuation for elliptic PDEs and systems, con trol theory and inverse problems. New results on strong uniqueness for second or higher order operators are explored in detail in several papers. In the area of control theory. the reader will find applications of Carleman estimates to stabiliza tion, observability and exact control for the wave and the SchrOdinger equations. A final paper presents a challenging list of open problems on the topic of control lability of linear and sernilinear heat equations. The papers contain exhaustive and essentially self-contained proofs directly ac cessible to mathematicians, physicists, and graduate students with an elementary background in PDEs. Contributors are L. Aloui, M. Bellassoued, N. Burq, F. Colombini, B. Dehman, C. Grammatico, M. Khenissi, H. Koch, P. Le Borgne, N. Lerner, T. Nishitani. T. Okaji, K.D. Phung, R. Regbaoui, X. Saint Raymond, D. Tataru, and E. Zuazua.