Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 7
... corresponding to a by ( 13 ) exist and are continuous , and [ MV ] p - o = 0 . 2o . For any v ( p , e ) the series v ( p , e ) Єv ( 16 ) 00 Σ max│Mxv | ε = 0 av = k = 0 p is convergent . 30. The function u ( r , ) constructed for v ( p ...
... corresponding to a by ( 13 ) exist and are continuous , and [ MV ] p - o = 0 . 2o . For any v ( p , e ) the series v ( p , e ) Єv ( 16 ) 00 Σ max│Mxv | ε = 0 av = k = 0 p is convergent . 30. The function u ( r , ) constructed for v ( p ...
Sayfa 34
... corresponds to the function . corresponds to the function n ( x , y ) , or in other words , is a minimum of the functional + T1 ( x1 , x0 ) ( 6 ) Jo ( r ) = S I ( X1 , X ) n ( x , y ) ds . The function ( x1 , x ) is then also small ...
... corresponds to the function . corresponds to the function n ( x , y ) , or in other words , is a minimum of the functional + T1 ( x1 , x0 ) ( 6 ) Jo ( r ) = S I ( X1 , X ) n ( x , y ) ds . The function ( x1 , x ) is then also small ...
Sayfa 37
... corresponding to the distribution depending just on the radius . - Let n ( r , 0,4 ) be the reciprocal of the ( longitudinal or transverse ) wave propagation speed . We can thus represent it in the form ( A ) n ( r , e , ) = n ( r ) + ...
... corresponding to the distribution depending just on the radius . - Let n ( r , 0,4 ) be the reciprocal of the ( longitudinal or transverse ) wave propagation speed . We can thus represent it in the form ( A ) n ( r , e , ) = n ( r ) + ...
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