Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
12 sonuçtan 1-5 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 2
... the solid angle in ( x , s ) -space with vertex at the origin . In accordance with the above discussion , we shall assume that u ( x , s ) belongs to the Problem of Determining a Function from Integrals over Ellipsoids of Revolution.
... the solid angle in ( x , s ) -space with vertex at the origin . In accordance with the above discussion , we shall assume that u ( x , s ) belongs to the Problem of Determining a Function from Integrals over Ellipsoids of Revolution.
Sayfa 3
... belongs to the space of C - functions . From ( 2 ) it is apparently only meaningful to pose the question of uniqueness of a solution to this problem in the class of even functions of S and this we shall do in the following . In addition ...
... belongs to the space of C - functions . From ( 2 ) it is apparently only meaningful to pose the question of uniqueness of a solution to this problem in the class of even functions of S and this we shall do in the following . In addition ...
Sayfa 6
Bu kitap için görüntüleme sınırınıza ulaştınız.
Bu kitap için görüntüleme sınırınıza ulaştınız.
Sayfa 8
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 |
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