Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
5 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... spheres of arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT.'S book [ 6 ] . At present , the determination of a function from its ...
... spheres of arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT.'S book [ 6 ] . At present , the determination of a function from its ...
Sayfa 19
... spheres of arbitrary radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function is unique within the class of conti- nuous functions . At the same time , an algorithm is given for constructing ...
... spheres of arbitrary radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function is unique within the class of conti- nuous functions . At the same time , an algorithm is given for constructing ...
Sayfa 28
... ( Mt ) be a given function . Letting the point . approach M in formula ( 2 ) and using expression ( 1 ) , we obtain ( 3 ) v ( M , 2t ) = = 112 SS 2,2 8 t πT a ( P ) ds SM خور where SM , t is a sphere of radius t - 28 .
... ( Mt ) be a given function . Letting the point . approach M in formula ( 2 ) and using expression ( 1 ) , we obtain ( 3 ) v ( M , 2t ) = = 112 SS 2,2 8 t πT a ( P ) ds SM خور where SM , t is a sphere of radius t - 28 .
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