Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... known . Here ო v ( x , t ) = Su ( x , s ) α u ( x , s ) dw Sxo , t is the solid angle in ( x , s ) -space with vertex at the origin . In accordance with the above discussion , we shall assume 1 that u ( x , s ) belongs to the - 2 ...
... known . Here ო v ( x , t ) = Su ( x , s ) α u ( x , s ) dw Sxo , t is the solid angle in ( x , s ) -space with vertex at the origin . In accordance with the above discussion , we shall assume 1 that u ( x , s ) belongs to the - 2 ...
Sayfa 24
... known value of its solution for z = 0 , ( 10 ) " 1 = 1 Z = 0 under conditions on u1 ( M , M , t ) analogous to ( 2 ) and ( 3 ) . 2. Linearized One - Dimensional Inverse Problem in Two - Dimensional Space In this section , we shall deal ...
... known value of its solution for z = 0 , ( 10 ) " 1 = 1 Z = 0 under conditions on u1 ( M , M , t ) analogous to ( 2 ) and ( 3 ) . 2. Linearized One - Dimensional Inverse Problem in Two - Dimensional Space In this section , we shall deal ...
Sayfa 39
... known function . They are then extended to the case of n - dimensional space . 1. Inverse Heat Conduction Problems for a Half - Plane 1 ° - First inverse problem : It is required to determine the function f ( x , y ) from the equation ...
... known function . They are then extended to the case of n - dimensional space . 1. Inverse Heat Conduction Problems for a Half - Plane 1 ° - First inverse problem : It is required to determine the function f ( x , y ) from the equation ...
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