Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 12
... constant . The equation has no other eigenfunctions . Note however that the boundedness of u ( r , ) together with ( 4 ) implies the boundedness of all V ( P , ) and so the solution we seek for ( 9 ) has to be bounded . But since for -λ ...
... constant . The equation has no other eigenfunctions . Note however that the boundedness of u ( r , ) together with ( 4 ) implies the boundedness of all V ( P , ) and so the solution we seek for ( 9 ) has to be bounded . But since for -λ ...
Sayfa 14
... const . in at most two points and whose vertex is at a distance P from the center of the circle can be represented by an equation such as ( 1 ) only if the center of the osculating circle at the vertex does not coincide with , the ...
... const . in at most two points and whose vertex is at a distance P from the center of the circle can be represented by an equation such as ( 1 ) only if the center of the osculating circle at the vertex does not coincide with , the ...
Sayfa 39
... const , f is a function of the form f ( x1 , x2 , ... , x , t ) = P ( t ) f1 ( x1 , x2 , • **** ) ( t ) being a known function . They are then extended to the case of n - dimensional space . 1. Inverse Heat Conduction Problems for a ...
... const , f is a function of the form f ( x1 , x2 , ... , x , t ) = P ( t ) f1 ( x1 , x2 , • **** ) ( t ) being a known function . They are then extended to the case of n - dimensional space . 1. Inverse Heat Conduction Problems for 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