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
4 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... belong . With applications of integral geometry to the study of linearized problems in mind , the most natural one for our purposes is the space C of contin- uous functions . Throughout the following we shall assume the solutions of ...
... belong . With applications of integral geometry to the study of linearized problems in mind , the most natural one for our purposes is the space C of contin- uous functions . Throughout the following we shall assume the solutions of ...
Sayfa 8
... belong to V. The necessity follows from Theorem 2. Let us show that the belonging of v ( p , e ) to V is sufficient for the existence of a solution . Indeed , consider for such a v ( p , c ) the series ( 19 ) ∞ Σ [ [ MV ] = o cosk = u ...
... belong to V. The necessity follows from Theorem 2. Let us show that the belonging of v ( p , e ) to V is sufficient for the existence of a solution . Indeed , consider for such a v ( p , c ) the series ( 19 ) ∞ Σ [ [ MV ] = o cosk = u ...
Sayfa 19
... belong to V. Remark . We have considered the case where the entire unit disc is covered by curves satisfying conditions 1o - 3 ° . If we consider only curves in a subdomain D of the unit disc bounded by a curve of the family and the ...
... belong to V. Remark . We have considered the case where the entire unit disc is covered by curves satisfying conditions 1o - 3 ° . If we consider only curves in a subdomain D of the unit disc bounded by a curve of the family and the ...
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