Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... belong . With applications of integral geometry to the study of linearized problems in mind , the most natural one for our purposes is the space с of contin- uous functions . Throughout the following we shall assume the solutions of ...
... belong . With applications of integral geometry to the study of linearized problems in mind , the most natural one for our purposes is the space с of contin- uous functions . Throughout the following we shall assume the solutions of ...
Sayfa 18
... belongs to V is also a sufficient condition for a solution to exist for equation ( 2 ) . Indeed , suppose vЄV . From it , construct the series ( 18a ) By conditions ∞ [ ( M x V ) ei k k = -∞ 1 ° and 2o the series converges to a ...
... belongs to V is also a sufficient condition for a solution to exist for equation ( 2 ) . Indeed , suppose vЄV . From it , construct the series ( 18a ) By conditions ∞ [ ( M x V ) ei k k = -∞ 1 ° and 2o the series converges to a ...
Sayfa 19
... belongs to V and it therefore satisfies inequality ( 16 ) . This implies that w ( p , a ) = 0 , or in other words ... belong to V. Remark . We have considered the case where the entire unit disc is covered by curves satisfying conditions ...
... belongs to V and it therefore satisfies inequality ( 16 ) . This implies that w ( p , a ) = 0 , or in other words ... belong to V. Remark . We have considered the case where the entire unit disc is covered by curves satisfying conditions ...
Diğer baskılar - Tümünü görüntüle
Multidimensional Inverse Problems for Differential Equations M. M. Lavrentiev,V. G. Romanov,V. G. Vasiliev Metin Parçacığı görünümü - 1970 |
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