Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
Sayfa
... [ 9 ] functions were constructed for some multidimensional inverse problems of quantum scattering theory that are similar to the GEL FAND - LEVITAN functions occurring in the inverse problem for the STURM - LIOUVILLE equation . This.
... [ 9 ] functions were constructed for some multidimensional inverse problems of quantum scattering theory that are similar to the GEL FAND - LEVITAN functions occurring in the inverse problem for the STURM - LIOUVILLE equation . This.
Sayfa
... constructed to solve them numerically by application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods used to prove uniqueness lead to special algorithms for the problems . They also make possible ...
... constructed to solve them numerically by application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods used to prove uniqueness lead to special algorithms for the problems . They also make possible ...
Sayfa 2
... 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 following problem in ( n + 1 ) -dimensional ...
... 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 following problem in ( n + 1 ) -dimensional ...
Sayfa 4
... constructed in unique fashion a system of moments on each ellipse . Since u ( x , s ) is an even function of s , it is uniquely de- termined by these moments . In other words , if a solution to equation ( 4 ) exists , it is unique . We ...
... constructed in unique fashion a system of moments on each ellipse . Since u ( x , s ) is an even function of s , it is uniquely de- termined by these moments . In other words , if a solution to equation ( 4 ) exists , it is unique . We ...
Sayfa 6
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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