Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 39
... plane , where ( 1a ) a 22u at = Au + f , a = const , f is a function of the form f ( x1 , x2 , ... , x ̧ , t ) = 4 ... Plane 1o- First inverse problem : It is required to determine the function f ( x , y ) from the equation ( 2 ) a 2 ди ...
... plane , where ( 1a ) a 22u at = Au + f , a = const , f is a function of the form f ( x1 , x2 , ... , x ̧ , t ) = 4 ... Plane 1o- First inverse problem : It is required to determine the function f ( x , y ) from the equation ( 2 ) a 2 ди ...
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 52
... Plane 2 Let a ( P ) = a = const . , P = ( , n ) , b ( P ) = 0 for n < Y1 , and let the domain D be the half - plane n≥0 . Under these conditions , equation ( 4 ) becomes ( 5 ) ∞了] ] b ( 5 , n ) [ K ( ar1 ) -K_ ( ar2 ) ] [ K ( arz ) ...
... Plane 2 Let a ( P ) = a = const . , P = ( , n ) , b ( P ) = 0 for n < Y1 , and let the domain D be the half - plane n≥0 . Under these conditions , equation ( 4 ) becomes ( 5 ) ∞了] ] b ( 5 , n ) [ K ( ar1 ) -K_ ( ar2 ) ] [ K ( arz ) ...
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