Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... plane curves . Moreover , we shall only con- sider curves symmetric about the x - axis ( s = 0 ) . However , as in the preceding section , the entire discussion easily carries over to ( n + 1 ) - dimensional surfaces resulting by way of ...
... plane curves . Moreover , we shall only con- sider curves symmetric about the x - axis ( s = 0 ) . However , as in the preceding section , the entire discussion easily carries over to ( n + 1 ) - dimensional surfaces resulting by way of ...
Sayfa 39
... plane , where ( 1a ) a2au = Au + f , a = const , f is a function of the form f ( x1 , x2 , ... , x , t ) = P ( t ) ... Plane 1 ° - First inverse problem : It is required to determine the function f ( x , y ) from the equation ( 2 ) 2 au a ...
... plane , where ( 1a ) a2au = Au + f , a = const , f is a function of the form f ( x1 , x2 , ... , x , t ) = P ( t ) ... Plane 1 ° - First inverse problem : It is required to determine the function f ( x , y ) from the equation ( 2 ) 2 au a ...
Sayfa 43
... boundary of the half - plane . Hence , N ( x , y ; E , n ) is the GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ( 15 ) v ( x , y , ^ - 43 .
... boundary of the half - plane . Hence , N ( x , y ; E , n ) is the GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ( 15 ) v ( x , y , ^ - 43 .
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