Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
14 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... exists for constructing the required function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the following problem in ( n + 1 ) ...
... exists for constructing the required function , the inversion formula has been lacking for this problem . 1. Problem of Determining a Function from Integrals over Ellipsoids of Revolution Consider the following problem in ( n + 1 ) ...
Sayfa 6
... exists no solution to the stated problem . This result relates to the fact that the given problem is not well - posed in the sense of HADAMARD . Actually no closed linear manifold of functions possesses the property obtained above for v ...
... exists no solution to the stated problem . This result relates to the fact that the given problem is not well - posed in the sense of HADAMARD . Actually no closed linear manifold of functions possesses the property obtained above for v ...
Sayfa 28
... exists an S as such that ( 19a ) Is R ( s , n ) | ≤ a < 1 in the domain { 0 ≤ s < S , n≤s } . From this it follows that the determination of a ( s ) from the function ( t ) is unique . On the other hand , a solution will exist if and ...
... exists an S as such that ( 19a ) Is R ( s , n ) | ≤ a < 1 in the domain { 0 ≤ s < S , n≤s } . From this it follows that the determination of a ( s ) from the function ( t ) is unique . On the other hand , a solution will exist if and ...
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 |
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