Completeness Of The Products Of Solutions Of Pde And Inverse Problems Symmetry Properties Of Scattering Amplitudes And Applications To Inverse Problems Stability Of The Numerical Method For Solving The 3d Inverse Scattering Problem With Fixed Energy Data
Download and Read Completeness Of The Products Of Solutions Of Pde And Inverse Problems Symmetry Properties Of Scattering Amplitudes And Applications To Inverse Problems Stability Of The Numerical Method For Solving The 3d Inverse Scattering Problem With Fixed Energy Data full books in PDF, ePUB, and Kindle. Read online free Completeness Of The Products Of Solutions Of Pde And Inverse Problems Symmetry Properties Of Scattering Amplitudes And Applications To Inverse Problems Stability Of The Numerical Method For Solving The 3d Inverse Scattering Problem With Fixed Energy Data ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Author | : A. G. Ramm |
Publisher | : |
Total Pages | : 50 |
Release | : 1989 |
Genre | : |
ISBN | : |
Download Completeness of the Products of Solutions of PDE and Inverse Problems ; Symmetry Properties of Scattering Amplitudes and Applications to Inverse Problems ; Stability of the Numerical Method for Solving the 3D Inverse Scattering Problem with Fixed Energy Data Book in PDF, Epub and Kindle
Author | : Alexander G. Ramm |
Publisher | : Springer Science & Business Media |
Total Pages | : 453 |
Release | : 2005-12-19 |
Genre | : Technology & Engineering |
ISBN | : 0387232184 |
Download Inverse Problems Book in PDF, Epub and Kindle
Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.
Author | : Alexander G. Ramm |
Publisher | : Belhaven |
Total Pages | : 400 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : |
Download Multidimensional Inverse Scattering Problems Book in PDF, Epub and Kindle
Author | : Alexander G Ramm |
Publisher | : World Scientific |
Total Pages | : 621 |
Release | : 2017-11-23 |
Genre | : Science |
ISBN | : 9813220988 |
Download Scattering By Obstacles And Potentials Book in PDF, Epub and Kindle
The book is important as it contains results many of which are not available in the literature, except in the author's papers. Among other things, it gives uniqueness theorems for inverse scattering problems when the data are non-over-determined, numerical method for solving inverse scattering problems, a method (MRC) for solving direct scattering problem.
Author | : Alexander G. Ramm |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 79 |
Release | : 2021-04-06 |
Genre | : Mathematics |
ISBN | : 1636391230 |
Download The Navier–Stokes Problem Book in PDF, Epub and Kindle
The main result of this book is a proof of the contradictory nature of the Navier‒Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on ℝ+ (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution 𝑣(𝑥, 𝑡) to the NSP exists for all 𝑡 ≥ 0 and 𝑣(𝑥, 𝑡) = 0). It is shown that if the initial data 𝑣0(𝑥) ≢ 0, 𝑓(𝑥,𝑡) = 0 and the solution to the NSP exists for all 𝑡 ϵ ℝ+, then 𝑣0(𝑥) := 𝑣(𝑥, 0) = 0. This Paradox proves that the NSP is physically incorrect and mathematically unsolvable, in general. Uniqueness of the solution to the NSP in the space 𝑊21(ℝ3) × C(ℝ+) is proved, 𝑊21(ℝ3) is the Sobolev space, ℝ+ = [0, ∞). Theory of integral equations and inequalities with hyper-singular kernels is developed. The NSP is reduced to an integral inequality with a hyper-singular kernel.
Author | : Alexander G. Ramm |
Publisher | : Morgan & Claypool Publishers |
Total Pages | : 87 |
Release | : 2019-03-05 |
Genre | : Mathematics |
ISBN | : 1681735067 |
Download Symmetry Problems. The Navier–Stokes Problem. Book in PDF, Epub and Kindle
This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. It also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable. This includes a proof of Schiffer's conjecture, the solution to the Pompeiu problem, and other symmetry problems for partial differential equations. It goes on to study some other symmetry problems related to the potential theory. Among these is the problem of "invisible obstacles." In Chapter 5, it provides a solution to the Navier‒Stokes problem in R3. The author proves that this problem has a unique global solution if the data are smooth and decaying sufficiently fast. A new a priori estimate of the solution to the Navier‒Stokes problem is also included. Finally, it delivers a solution to inverse problem of the potential theory without the standard assumptions about star-shapeness of the homogeneous bodies.
Author | : Alexander G. Ramm |
Publisher | : |
Total Pages | : 20 |
Release | : 1988 |
Genre | : Inverse problems (Differential equations) |
ISBN | : |
Download Multidimensional Inverse Scattering Problems and Completeness of the Products of Solutions to Homogeneous PDE Book in PDF, Epub and Kindle
Author | : Alexander G Ramm |
Publisher | : |
Total Pages | : 77 |
Release | : 2021-04-06 |
Genre | : |
ISBN | : 9781636391243 |
Download The Navier-Stokes Problem Book in PDF, Epub and Kindle
The main result of this book is a proof of the contradictory nature of the Navier‒Stokes problem (NSP). It is proved that the NSP is physically wrong, and the solution to the NSP does not exist on ℝ] (except for the case when the initial velocity and the exterior force are both equal to zero; in this case, the solution 𝑣(𝑥, 𝑡) to the NSP exists for all 𝑡 >= 0 and 𝑣(𝑥, 𝑡) = 0). It is shown that if the initial data 𝑣0(𝑥) ≢ 0, 𝑓(𝑥,𝑡) = 0 and the solution to the NSP exists for all 𝑡 ϵ ℝ+, then 𝑣0(𝑥): = 𝑣(𝑥, 0) = 0. This Paradox proves that the NSP is physically incorrect and mathematically unsolvable, in general. Uniqueness of the solution to the NSP in the space 𝑊21(ℝ3) × C(ℝ+) is proved, 𝑊21(ℝ3) is the Sobolev space, ℝ+ = [0, ∞). Theory of integral equations and inequalities with hyper-singular kernels is developed. The NSP is reduced to an integral inequality with a hyper-singular kernel.
Author | : Z. S. Agranovich |
Publisher | : |
Total Pages | : 316 |
Release | : 1964 |
Genre | : Mathematics |
ISBN | : |
Download The Inverse Problem of Scattering Theory Book in PDF, Epub and Kindle
Author | : Irvin W. Kay |
Publisher | : |
Total Pages | : 0 |
Release | : 1955 |
Genre | : Inverse problems (Differential equations) |
ISBN | : |
Download The Inverse Scattering Problem Book in PDF, Epub and Kindle