Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa 9
... radius vector to the point ( x0,0 ) . Introduce spherical coordinates for y and S by the formulas ( 21 ) , y1 = S r51 = r5n + 1 ( 1 = 1,2 , ... , n ) where 51 ( 1 ( 1 = = 1,2 , ... , n + 1 ) are the direction cosines of the radius ...
... radius vector to the point ( x0,0 ) . Introduce spherical coordinates for y and S by the formulas ( 21 ) , y1 = S r51 = r5n + 1 ( 1 = 1,2 , ... , n ) where 51 ( 1 ( 1 = = 1,2 , ... , n + 1 ) are the direction cosines of the radius ...
Sayfa 28
... radius t centered at the point With ( 2 ) as point of departure , one may consider two formulations of the linearized inverse problem . First Formulation : Let Mo ( x ,。, 0 ) O O M be a variable point and let u1 ( M , M , t ) = ( M , t ) ...
... radius t centered at the point With ( 2 ) as point of departure , one may consider two formulations of the linearized inverse problem . First Formulation : Let Mo ( x ,。, 0 ) O O M be a variable point and let u1 ( M , M , t ) = ( M , t ) ...
Sayfa 36
... radius only , the data accumulated from a fairly large number of earthquakes has been used to construct velocity distribution curves for ( longitudinal and transverse ) seismic waves propagating along the earth's radius ( see , for ...
... radius only , the data accumulated from a fairly large number of earthquakes has been used to construct velocity distribution curves for ( longitudinal and transverse ) seismic waves propagating along the earth's radius ( see , for ...
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 |
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