Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... origin and the other running over all points of the hyperplane S = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine u ( x , s ) from the given ...
... origin and the other running over all points of the hyperplane S = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine u ( x , s ) from the given ...
Sayfa 10
... origin such that a f ( 0,0 ) # 0. Let the integrals an ( 2 ) ( e , e cos ) u ( r , ) d = v ( p , e ) , Socese P , ε be given along these curves , wherein ( ε , n ) is a known analytic in a neighborhood of the origin such that function ...
... origin such that a f ( 0,0 ) # 0. Let the integrals an ( 2 ) ( e , e cos ) u ( r , ) d = v ( p , e ) , Socese P , ε be given along these curves , wherein ( ε , n ) is a known analytic in a neighborhood of the origin such that function ...
Sayfa 27
... origin is a singular point for does not exist . However K ( t , n ) remains bounded in a neighborhood of the origin . Formula ( 15 ) leads to ( 15a ) The function K ( t , n ) = √ng - n K1 ( t , n ) . K , ( t , n ) 1 is continuous ...
... origin is a singular point for does not exist . However K ( t , n ) remains bounded in a neighborhood of the origin . Formula ( 15 ) leads to ( 15a ) The function K ( t , n ) = √ng - n K1 ( t , n ) . K , ( t , n ) 1 is continuous ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 diğer bölüm gösterilmiyor
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 belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution exists 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 linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx