Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... exists for constructing the required function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the following problem in ( n + 1 ) ...
... exists for constructing the required function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the following problem in ( n + 1 ) ...
Sayfa 6
... exists no solution to the stated problem . This result relates to the fact that the given problem is not well - posed in the sense of HADAMARD . Actually no closed linear manifold of functions belonging to the function spaces ck , H , L ...
... exists no solution to the stated problem . This result relates to the fact that the given problem is not well - posed in the sense of HADAMARD . Actually no closed linear manifold of functions belonging to the function spaces ck , H , L ...
Sayfa 28
... exists an such that ( 19a ) in the domain a S Is R ( s , n ) a < 1 | as * S , n≤s } . From this it follows that the determination of a ( s ) from the function ( t ) is unique . On the other hand , a solution will exist if and only if ...
... exists an such that ( 19a ) in the domain a S Is R ( s , n ) a < 1 | as * S , n≤s } . From this it follows that the determination of a ( s ) from the function ( t ) is unique . On the other hand , a solution will exist if and only if ...
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