Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
Sayfa 2
... origin and the other running over all points of the hyperplane S = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine integrals . Denote the ...
... origin and the other running over all points of the hyperplane S = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine integrals . Denote the ...
Sayfa 3
... origin , then it is unique . By solution here , we mean an even function of S vanishing at the origin . The idea of the proof of the theorem is to find all moments of To this end , it is convenient to go over to polar coordinates ...
... origin , then it is unique . By solution here , we mean an even function of S vanishing at the origin . The idea of the proof of the theorem is to find all moments of To this end , it is convenient to go over to polar coordinates ...
Sayfa 5
... origin , u ( r , Y ) is an satisfies a HÖLDER condition , ( 9 ) where A and 3o . Each u ( r , ¶ ) ( 10 ) | u ( r , Y ) | ≤ Ar " , ( μ > 0 ) μ are constants . satisfies the inequality 00 max u1 ( r ) | < ∞ | Uk ( r ) | r k = 0 wherein ...
... origin , u ( r , Y ) is an satisfies a HÖLDER condition , ( 9 ) where A and 3o . Each u ( r , ¶ ) ( 10 ) | u ( r , Y ) | ≤ Ar " , ( μ > 0 ) μ are constants . satisfies the inequality 00 max u1 ( r ) | < ∞ | Uk ( r ) | r k = 0 wherein ...
Sayfa 8
Bu kitap için görüntüleme sınırınıza ulaştınız.
Bu kitap için görüntüleme sınırınıza ulaştınız.
Sayfa 9
Bu kitap için görüntüleme sınırınıza ulaştınız.
Bu kitap için görüntüleme sınırınıza ulaştınız.
İçindekiler
1 | |
Linearized Inverse Dynamic Problem for the Telegraph | 22 |
Derivation of a Nonlinear Differential Equation for | 31 |
CHAPTER 4 | 39 |
CHAPTER 5 | 52 |
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 belong boundary conditions CAUCHY data chapter consider const construct 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 f(x,y functions u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation Inverse Kinematic Inverse Kinematic Problem inversion formula kernel L₁(D linearized inverse problem M₁ mean values multidimensional inverse problems obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₂ relations right-hand side second kind sense of HADAMARD SM,t solution to equation space STURM-LIOUVILLE equations 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 ду