Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
Sayfa
... theorem was 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 ...
... theorem was 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 ...
Sayfa
... theorem . The monograph consists primarily of proofs of uniqueness theorems for the formulations in question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the solution of ...
... theorem . The monograph consists primarily of proofs of uniqueness theorems for the formulations in question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the solution of ...
Sayfa 1
... theorems for these problems , the determination of inversion formulas for them and the set of functions for which these formulas are valid . The latter is related to the question of existence of a solution . Section 1 considers the ...
... theorems for these problems , the determination of inversion formulas for them and the set of functions for which these formulas are valid . The latter is related to the question of existence of a solution . Section 1 considers the ...
Sayfa 3
... theorem holds . 3 Theorem 1 : If equation ( 2 ) has a solution belonging to C satisfying a Hölder condition in a neighborhood of the origin , then it is unique . By solution here , we mean an even function of S vanishing at the origin ...
... theorem holds . 3 Theorem 1 : If equation ( 2 ) has a solution belonging to C satisfying a Hölder condition in a neighborhood of the origin , then it is unique . By solution here , we mean an even function of S vanishing at the origin ...
Sayfa 7
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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