Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
5 sonuçtan 1-3 arası sonuçlar
Sayfa 34
... represented = ( x 12 x 0 ) = T τη ( χ ( 5 ) Here ( x1 , x ) 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 ...
... represented = ( x 12 x 0 ) = T τη ( χ ( 5 ) Here ( x1 , x ) 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 ...
Sayfa 43
... boundary of the half - plane . Hence , N ( x , y ; E , n ) is the GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ∞ x ( x , y , x ) = - 43 -
... boundary of the half - plane . Hence , N ( x , y ; E , n ) is the GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ∞ x ( x , y , x ) = - 43 -
Sayfa 54
... represented by ( 10 ) r ( u , n ) e ludu . D ( £ , n ) = 1⁄2 , Šr ( u‚n Sr 2π Thus we have proved the following uniqueness theorem for equation ( 1 ) in a half - plane . Theorem : The inverse problem for equation ( 1 ) has at most one ...
... represented by ( 10 ) r ( u , n ) e ludu . D ( £ , n ) = 1⁄2 , Šr ( u‚n Sr 2π Thus we have proved the following uniqueness theorem for equation ( 1 ) in a half - plane . Theorem : The inverse problem for equation ( 1 ) has at most one ...
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