Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
5 sonuçtan 1-3 arası sonuçlar
Sayfa 13
... Family of Curves Invariant to Rotation around the Center of the Circle In this section we shall consider the following problem : A continuous function is defined inside the unit circle and its integrals along a two - parameter family of ...
... Family of Curves Invariant to Rotation around the Center of the Circle In this section we shall consider the following problem : A continuous function is defined inside the unit circle and its integrals along a two - parameter family of ...
Sayfa 14
... two - parameter family of curves having the following proper- ties : 10. The family is invariant to rotation about the center of the circle . 2o . Each curve begins and ends on the unit circle . 30. Each curve consists of two branches ...
... two - parameter family of curves having the following proper- ties : 10. The family is invariant to rotation about the center of the circle . 2o . Each curve begins and ends on the unit circle . 30. Each curve consists of two branches ...
Sayfa 38
... two - parameter family , we have an overdeterminancy available in our problem . The function n ( r , e , f ) can be recovered if we merely know the travel - times of waves , for example , in cross - sections passing through the earth's ...
... two - parameter family , we have an overdeterminancy available in our problem . The function n ( r , e , f ) can be recovered if we merely know the travel - times of waves , for example , in cross - sections passing through the earth'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