Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
15 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... mean values over circles . Although , as we have indicated already , uniqueness has been proved before and a basic algorithm exists for constructing the required function , the inversion formula has been lacking for this problem . 1 ...
... mean values over circles . Although , as we have indicated already , uniqueness has been proved before and a basic algorithm exists for constructing the required function , the inversion formula has been lacking for this problem . 1 ...
Sayfa 1
... mean values over spheres of arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT.'S book [ 6 ] . At present , the determination of a function ...
... mean values over spheres of arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT.'S book [ 6 ] . At present , the determination of a function ...
Sayfa 19
... means that to each v ( p , a ) E V we have constructed a solution to equation ( 2 ) . By Theorem 5 , it is unique ... mean values over spheres of arbitrary radius with centers at points of the hyperplane S = 0 is considered . It is ...
... means that to each v ( p , a ) E V we have constructed a solution to equation ( 2 ) . By Theorem 5 , it is unique ... mean values over spheres of arbitrary radius with centers at points of the hyperplane S = 0 is considered . It is ...
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 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