Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
9 sonuçtan 1-5 arası sonuçlar
Sayfa
... proved for the solution to the inverse problem for SCHRÖDINGER'S equation in the class of piece- wise analytic functions . In [ 8 ] and [ 9 ] functions were constructed for some multidimensional inverse problems of quantum scattering ...
... proved for the solution to the inverse problem for SCHRÖDINGER'S equation in the class of piece- wise analytic functions . In [ 8 ] and [ 9 ] functions were constructed for some multidimensional inverse problems of quantum scattering ...
Sayfa
... proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus ... prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
... proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus ... prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
Sayfa 1
... proved in R. COURANT'S book [ 6 ] . At present , the determination of a function from its integrals over hyperplanes has been the problem dealt with most fully in monographs [ 12 ] . The authors of the book , I.M. GEL'FAND , M.I. GRAEV ...
... proved in R. COURANT'S book [ 6 ] . At present , the determination of a function from its integrals over hyperplanes has been the problem dealt with most fully in monographs [ 12 ] . The authors of the book , I.M. GEL'FAND , M.I. GRAEV ...
Sayfa 2
... proved before and a basic algorithm exists for constructing the required function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the ...
... proved before and a basic algorithm exists for constructing the required function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the ...
Sayfa 5
... proved the uniqueness of the reconstruc- ted function from its integrals over ellipses . Namely , we shall con- sider functions u ( r , ) satisfying the following conditions : is a continuous function of its arguments in the disc rsr it ...
... proved the uniqueness of the reconstruc- ted function from its integrals over ellipses . Namely , we shall con- sider functions u ( r , ) satisfying the following conditions : is a continuous function of its arguments in the disc rsr it ...
İçindekiler
1 | |
Linearized Inverse Dynamic Problem for the Telegraph | 22 |
Derivation of a Nonlinear Differential Equation for | 31 |
CHAPTER 4 | 39 |
CHAPTER 5 | 52 |
Diğer baskılar - Tümünü görüntüle
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
Sık kullanılan terimler ve kelime öbekleri
absolutely integrable functions analytic function belong boundary conditions CAUCHY data chapter consider const construct continuous function corresponding Denote derive determining a function differential equation domain earth's ellipses ellipsoid of revolution exists expression family of curves following theorem function f(x,y functions u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation Inverse Kinematic Inverse Kinematic Problem inversion formula kernel L₁(D linearized inverse problem M₁ mean values multidimensional inverse problems obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₂ relations right-hand side second kind sense of HADAMARD SM,t solution to equation space STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family u₁ M,M,t unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation ду