Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
21 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 ) N u ( r , ) rY = Σ k = 1 Ak cosky , 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 ) . Ак Then if S Ρ , ε ...
... consider the function ( 10 ) N u ( r , ) rY = Σ k = 1 Ak cosky , 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 ) . Ак Then if S Ρ , ε ...
Sayfa 22
... Consider the problem of determining the coefficient a ( x , y , z ) in the telegraph equation 224. 224 , 224 , 224 at in the domain = эх + 220 + a ( x , y , z ) u ǝy az 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 224. 224 , 224 , 224 at in the domain = эх + 220 + a ( x , y , z ) u ǝy az from the value of the solution to the CAUCHY problem for the ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 diğer bölüm gösterilmiyor
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 belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution exists 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 linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx