Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
22 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... considering linearized inverse problems for the simplest equations of mathematical physics . Some of them lead to the ... consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD . We ...
... considering linearized inverse problems for the simplest equations of mathematical physics . Some of them lead to the ... consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD . We ...
Sayfa 13
... consider the function ( 10 ) u ( r , Y ) = r ¥ N Σ k = 1 Ak cosk , where Y is a positive number , N is a positive integer and the are arbitrary numerical coefficients . Choose as weight function ( e , n ) ( 1 -n ) . Then if S p , ε is ...
... consider the function ( 10 ) u ( r , Y ) = r ¥ N Σ k = 1 Ak cosk , where Y is a positive number , N is a positive integer and the are arbitrary numerical coefficients . Choose as weight function ( e , n ) ( 1 -n ) . Then if S p , ε is ...
Sayfa 22
... Consider the problem of determining the coefficient a ( x , y , z ) in the telegraph equation 2 = 2 at 2 2 эх + 2 2 a 2 + a ( x , y , z ) u 2 ду az in the domain Z Σ 0 from the value of the solution to the CAUCHY problem for the ...
... Consider the problem of determining the coefficient a ( x , y , z ) in the telegraph equation 2 = 2 at 2 2 эх + 2 2 a 2 + a ( x , y , z ) u 2 ду az in the domain Z Σ 0 from the value of the solution to the CAUCHY problem for the ...
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