Multidimensional Inverse Problems for Differential EquationsM. M. Lavrentiev, Mikhail Mikhailovich Lavrent£ev, Vladimir Gavrilovich Romanov, V. G. Romanov, V. G. Vasiliev Springer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
16 sonuçtan 1-3 arası sonuçlar
Sayfa
... operator is required to be found from the spectral function of the operator . In [ 19 ] and [ 2 ] a number of problems invol- ving the determination of the coefficients of a partial differential equation are shown to be reducible to ...
... operator is required to be found from the spectral function of the operator . In [ 19 ] and [ 2 ] a number of problems invol- ving the determination of the coefficients of a partial differential equation are shown to be reducible to ...
Sayfa 9
... operator Lk keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ( 24 ) s Su ( rQ • E ) y u ( rQ • 5 ) y } dw = Lkv Sp , q , € ( k = 0,1,2 , ... ) Note that by virtue of the orthogonality of the transformation , ( 24a ) ...
... operator Lk keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ( 24 ) s Su ( rQ • E ) y u ( rQ • 5 ) y } dw = Lkv Sp , q , € ( k = 0,1,2 , ... ) Note that by virtue of the orthogonality of the transformation , ( 24a ) ...
Sayfa 20
... operator L defined by a ( 2 ) Lv = xv ( x , r ) + r ax • 4x pv ( x , p ) dp we obtain Let ( 2a ) Lv = x Jul 2 = x } . X = X = 2π 2π u ( x + r • cosy , r.sin¶ ) d¶ + r & эх پری u ( E , s ) dEds 2 ( x - 5 ) 2 + s2 < r2 22 x + r de • 2 ...
... operator L defined by a ( 2 ) Lv = xv ( x , r ) + r ax • 4x pv ( x , p ) dp we obtain Let ( 2a ) Lv = x Jul 2 = x } . X = X = 2π 2π u ( x + r • cosy , r.sin¶ ) d¶ + r & эх پری u ( E , s ) dEds 2 ( x - 5 ) 2 + s2 < r2 22 x + r de • 2 ...
İçindekiler
Generalization to Analytic Curves | 10 |
On the Problem of Determining a Function from Its Mean | 19 |
Two Formulations of the Linearized Inverse Problem | 28 |
Telif Hakkı | |
2 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 Akad belong boundary conditions CAUCHY data chapter coefficients consider const continuous function corresponding cosy Denote derive determining a function differential equation Dokl 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 HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel linearized inverse problem mean values multidimensional inverse problems Nauk SSSR obtain operator L defined parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind solution to equation STURM-LIOUVILLE equations take FOURIER transforms telegraph equation travel-times two-parameter family unique solution uniqueness theorem unit circle values over spheres variables VOLTERRA equation waves wxxx