Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT'S book [ 6 ] . At present , the determination of a function from its integrals over ...
... arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT'S book [ 6 ] . At present , the determination of a function from its integrals over ...
Sayfa 6
... arbitrarily small strip 0 ≤ ε ≤ 8 , ΕΣ δ we determine it completely for δε < 1. This implies in turn that to any arbitrary continuous function there exists no solution to the stated problem . This result relates to the fact that the ...
... arbitrarily small strip 0 ≤ ε ≤ 8 , ΕΣ δ we determine it completely for δε < 1. This implies in turn that to any arbitrary continuous function there exists no solution to the stated problem . This result relates to the fact that the ...
Sayfa 10
... arbitrary point of the hyperplane S = 0 , by taking the invariance of dw into consideration , one can use equation ( 24 ) for Ε = 0 to derive the following moments for ( 246 ) 11 12 • X2 X1 Su ( x , s ) x11.x2 ... λη dw , Xn u ( x , s ) ...
... arbitrary point of the hyperplane S = 0 , by taking the invariance of dw into consideration , one can use equation ( 24 ) for Ε = 0 to derive the following moments for ( 246 ) 11 12 • X2 X1 Su ( x , s ) x11.x2 ... λη dw , Xn u ( x , s ) ...
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 |
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