Multidimensional Inverse Problems for Differential EquationsSpringer, 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 Q 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 Q 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 ...
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 analytic function belong boundary conditions CAUCHY data chapter coefficients consider const continuous function coordinates corresponding cosk Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution 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 Lavrentiev linearized inverse problem multidimensional inverse problems Nauk SSSR obtain parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind SM,t solution to equation take FOURIER transforms telegraph equation two-parameter family unique solution uniqueness theorem unit circle variables VOLTERRA equation waves wxxx