Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
6 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the following problem in ( n + 1 ) -dimensional space . The inte- grals of a ...
... function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the following problem in ( n + 1 ) -dimensional space . The inte- grals of a ...
Sayfa 18
... inversion formula for the given problem . After the FOURIER coefficients of u ( r , ) have been found using ( 13 ) , u ( r , Y ) , being a member of can be determined through the formula 00 u ( r , 4 ) = [ ( Mv ) e 1кф · Ú , ( 17 ) ...
... inversion formula for the given problem . After the FOURIER coefficients of u ( r , ) have been found using ( 13 ) , u ( r , Y ) , being a member of can be determined through the formula 00 u ( r , 4 ) = [ ( Mv ) e 1кф · Ú , ( 17 ) ...
Sayfa 21
... inversion formula for continuous functions be- longing to U , namely , ( 7 ) 00 u ( r.cos , r.sin ) = [ [ Mkv ] xocosk . k = 0 Formula ( 1 ) now easily leads to an equality for the function v ( x , r ) corresponding to which the ...
... inversion formula for continuous functions be- longing to U , namely , ( 7 ) 00 u ( r.cos , r.sin ) = [ [ Mkv ] xocosk . k = 0 Formula ( 1 ) now easily leads to an equality for the function v ( x , r ) corresponding to which the ...
İçindekiler
CHAPTER | 1 |
Problem of Determining a Function inside a Circle from | 13 |
On the Problem of Determining a Function from Its Mean | 19 |
Telif Hakkı | |
4 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 |
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 analytic function arbitrary belong boundary conditions CAUCHY data chapter consider const continuous function corresponding Denote derive determining a function differential equation 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 HOLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inverse problem inversion formula kernel L₁ linearized inverse problem M₁ mean values multidimensional inverse problems n₁ obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₁ R₂ relations right-hand side second kind SM,t solution to equation take FOURIER transforms telegraph equation travel-times two-parameter family u₁ M,M,t unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx θε ду эф