Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
Sayfa
... assumed there that the coefficients are functions of a single variable . The second is in problems of potential theory ( [ 17 ] , [ 20 ] , [ 25 ] , [ 29 ] , [ 33 ] ) . In the inverse problems of this type , the right - hand side of an ...
... assumed there that the coefficients are functions of a single variable . The second is in problems of potential theory ( [ 17 ] , [ 20 ] , [ 25 ] , [ 29 ] , [ 33 ] ) . In the inverse problems of this type , the right - hand side of an ...
Sayfa 1
... assume the solutions of corresponding problems in integral geometry to belong to the space C or to some subset of it . We shall be interested in uniqueness theorems for these problems , the determination of inversion formulas for them ...
... assume the solutions of corresponding problems in integral geometry to belong to the space C or to some subset of it . We shall be interested in uniqueness theorems for these problems , the determination of inversion formulas for them ...
Sayfa 2
... 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.
... 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
Maalesef, bu sayfanın içeriği kısıtlanmıştır.
Maalesef, bu sayfanın içeriği kısıtlanmıştır.
Sayfa 14
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 |
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