Pointwise Bounds for Solutions of the Cauchy Problem for Elliptic Equations PDF Download
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Author: George Norman Trytten
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 92
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Book Description
An analysis is presented which deals with a technique for approximating the solution to a Cauchy problem for a geneal second-order elliptic patil differential equation defined in an N-dimensional region D. The method is based upon the determination of an a priori bound for the value of an arbitrary function u at a point P in D in terms of the values of u and its gradient on the cauchy surface andA FUNCTIONAL OF THE ELLIPTIC OPERATOR APPLIED TO U. (Author).
Author: George Norman Trytten
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 92
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Book Description
An analysis is presented which deals with a technique for approximating the solution to a Cauchy problem for a geneal second-order elliptic patil differential equation defined in an N-dimensional region D. The method is based upon the determination of an a priori bound for the value of an arbitrary function u at a point P in D in terms of the values of u and its gradient on the cauchy surface andA FUNCTIONAL OF THE ELLIPTIC OPERATOR APPLIED TO U. (Author).
Author: L. E. Payne
Publisher: SIAM
ISBN: 9781611970463
Category : Mathematics
Languages : en
Pages : 81
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Book Description
Improperly posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Author: William F. Ames
Publisher: Elsevier
ISBN: 008053774X
Category : Mathematics
Languages : en
Pages : 319
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Book Description
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration. - Provides the first unified survey of the advances made in the last 15 years in the field - Includes an up-to-date compendium of the mathematical literature on these topics
Author: Allan David Bennett
Publisher:
ISBN:
Category : Cauchy problem
Languages : en
Pages : 220
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Book Description
Author: Knops Robin J.
Publisher: Springer
ISBN: 3540383700
Category : Mathematics
Languages : en
Pages : 185
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Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 592
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Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 418
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1282
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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: United States. National Aeronautics and Space Administration
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1556
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Author: United States. Department of Commerce. Office of Technical Services
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 860
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Book Description
