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
9 sonuçtan 1-3 arası sonuçlar
Sayfa
... coefficients of a partial differential equation are shown to be reducible to inverse problems for STURM - LIOUVILLE equations . It is assumed there that the coefficients are functions of a single variable . The second is in problems of ...
... coefficients of a partial differential equation are shown to be reducible to inverse problems for STURM - LIOUVILLE equations . It is assumed there that the coefficients are functions of a single variable . The second is in problems of ...
Sayfa 12
... coefficient a 。( 0 ) ck ( 0 ) , obtain for the function w ( z ) = w1 ( z ) = v ( exp z , 0 ) a VOLTERRA integral equation ... coefficients 119 AK - 1 is a continuous function expressible in terms of the functions [ L3v ] -o ( j = 0,1,2 ...
... coefficient a 。( 0 ) ck ( 0 ) , obtain for the function w ( z ) = w1 ( z ) = v ( exp z , 0 ) a VOLTERRA integral equation ... coefficients 119 AK - 1 is a continuous function expressible in terms of the functions [ L3v ] -o ( j = 0,1,2 ...
Sayfa 22
... coefficient , we need to know information of the same dimensionality as that of the coefficient a ( x , y , z ) . 1. Statement of the Inverse Problem and Its Linearization Consider the telegraph equation ( 1 ) 2 au 2 at = △ u + a ( M ) ...
... coefficient , we need to know information of the same dimensionality as that of the coefficient a ( x , y , z ) . 1. Statement of the Inverse Problem and Its Linearization Consider the telegraph equation ( 1 ) 2 au 2 at = △ u + a ( M ) ...
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