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
8 sonuçtan 1-3 arası sonuçlar
Sayfa
... Linearization 2. Linearized One - Dimensional Inverse Problem in Two- Dimensional Space Linearized Inverse Dynamic Problem for the Telegraph Equation ... 22 .. 22 24 3. Two Formulations of the Linearized Inverse Problem in Three ...
... Linearization 2. Linearized One - Dimensional Inverse Problem in Two- Dimensional Space Linearized Inverse Dynamic Problem for the Telegraph Equation ... 22 .. 22 24 3. Two Formulations of the Linearized Inverse Problem in Three ...
Sayfa 24
... Linearized One - Dimensional Inverse Problem in Two - Dimensional Space In this section , we shall deal with the linearized problem of deter- mining a ( M ) in the half - plane y 20 on the assumption it is just a function of y ...
... Linearized One - Dimensional Inverse Problem in Two - Dimensional Space In this section , we shall deal with the linearized problem of deter- mining a ( M ) in the half - plane y 20 on the assumption it is just a function of y ...
Sayfa 28
... Linearized Inverse Problem in Three - Dimen- sional Space For three - dimensional space , the function u ( M , M , t ) that satisfies equation ( 7 ) of Sec . 1 and homogeneous initial and boundary conditions such as ( 2 ) and ( 3 ) is ...
... Linearized Inverse Problem in Three - Dimen- sional Space For three - dimensional space , the function u ( M , M , t ) that satisfies equation ( 7 ) of Sec . 1 and homogeneous initial and boundary conditions such as ( 2 ) and ( 3 ) is ...
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