Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
5 sonuçtan 1-3 arası sonuçlar
Sayfa 4
... 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 next consider how relations ( 8 ) may be ...
... 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 next consider how relations ( 8 ) may be ...
Sayfa 9
... moments of the function . To this end , we perform an orthogonal coordinate trans- formation in ( x , s ) -space with matrix ♢ amounting to a rotation about the origin in the hyperplane S = 0. Suppose that under this trans- formation ...
... moments of the function . To this end , we perform an orthogonal coordinate trans- formation in ( x , s ) -space with matrix ♢ amounting to a rotation about the origin in the hyperplane S = 0. Suppose that under this trans- formation ...
Sayfa 10
... moments determine our even function of S uniquely . Using the resultant system of moments , one can construct an inversion formula in a similar way to the case n = 1 . 2. Generalization to Analytic Curves The method of determining a ...
... moments determine our even function of S uniquely . Using the resultant system of moments , one can construct an inversion formula in a similar way to the case n = 1 . 2. Generalization to Analytic Curves The method of determining a ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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 Akad belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution exists expression family of curves following theorem function u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx