Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 8
... construct the function ( 20 ) Evidently , ( 20a ) v ( p , e ) = Su ( r , 9 ) a¶ . S Ρ , ε v V. Applying My to equation ( 20 ) , we obtain [ MV ] 2 = 0 = [ Mkv ] e = 0 • Or by the linearity of Mk ( 20b ) ( 20c ) The function W is in ( p ...
... construct the function ( 20 ) Evidently , ( 20a ) v ( p , e ) = Su ( r , 9 ) a¶ . S Ρ , ε v V. Applying My to equation ( 20 ) , we obtain [ MV ] 2 = 0 = [ Mkv ] e = 0 • Or by the linearity of Mk ( 20b ) ( 20c ) The function W is in ( p ...
Sayfa 10
... construct an inversion formula in a similar way to the case n = 1 . 2. Generalization to Analytic Curves The method of determining a function from its integrals discussed in the preceding section can easily be generalized to surfaces of ...
... construct an inversion formula in a similar way to the case n = 1 . 2. Generalization to Analytic Curves The method of determining a function from its integrals discussed in the preceding section can easily be generalized to surfaces of ...
Sayfa 19
... constructed a solution to equation ( 2 ) . By Theorem 5 , it is unique . Collecting the above results , we arrive at the ... construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean ...
... constructed a solution to equation ( 2 ) . By Theorem 5 , it is unique . Collecting the above results , we arrive at the ... construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean ...
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