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
8 sonuçtan 1-3 arası sonuçlar
Sayfa
... question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them ...
... question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them ...
Sayfa 17
... question , namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) y ( r ) = MV , 0 , ± 1 , ( k = 0 , 1 , 2 , ... ) wherein ...
... question , namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) y ( r ) = MV , 0 , ± 1 , ( k = 0 , 1 , 2 , ... ) wherein ...
Sayfa 19
... question of determining an even function of s , u ( x1 , x2 , ... x , s ) from its mean values over spheres of arbitrary radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function is unique ...
... question of determining an even function of s , u ( x1 , x2 , ... x , s ) from its mean values over spheres of arbitrary radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function is unique ...
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