Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
11 sonuçtan 1-3 arası sonuçlar
Sayfa
... proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus ... prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
... proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus ... prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
Sayfa 7
... proved . To this end , note that the function u ( r , 9 ) given by ( 15 ) has to satisfy equation ( 5 ) , 1.e. , the following identity must hold : ( 18a ) 2π ∞ [ [ Mkv ] e = o coska❤ coska = v ( p , ε ) . k = 0 ε = 0 p + r [ Mkv ] ...
... proved . To this end , note that the function u ( r , 9 ) given by ( 15 ) has to satisfy equation ( 5 ) , 1.e. , the following identity must hold : ( 18a ) 2π ∞ [ [ Mkv ] e = o coska❤ coska = v ( p , ε ) . k = 0 ε = 0 p + r [ Mkv ] ...
Sayfa 18
... prove the validity of inequality ( 16 ) , we consider the inversion formula for the given problem . After the FOURIER ... proved . The fact that v ( p , a ) belongs to V is also a sufficient condition for a solution to exist for equation ...
... prove the validity of inequality ( 16 ) , we consider the inversion formula for the given problem . After the FOURIER ... proved . The fact that v ( p , a ) belongs to V is also a sufficient condition for a solution to exist for equation ...
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