Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... spheres of arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT'S book [ 6 ] . At present , the determination of a function from its integrals ...
... spheres of arbitrary radius with centers lying on an ( n - 1 ) - dimensional hyperplane . The uniqueness of a solution to the problem is proved in R. COURANT'S book [ 6 ] . At present , the determination of a function from its integrals ...
Sayfa 19
... spheres of arbitrary • • • Xn ' radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function is unique within the class of conti- nuous functions . At the same time , an algorithm is given for ...
... spheres of arbitrary • • • Xn ' radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function is unique within the class of conti- nuous functions . At the same time , an algorithm is given for ...
Sayfa 52
... spheres described around the points Q and Q ' . Denote the resultant domain by D1 . Applying GREENS'S theorem to G1 ( P , and G2 ( P , Q ' ) in D , we have be the GREEN'S functions of first kind for ( 2 ) G1 ( Q , Q ' ) - G2 ( Q , Q ...
... spheres described around the points Q and Q ' . Denote the resultant domain by D1 . Applying GREENS'S theorem to G1 ( P , and G2 ( P , Q ' ) in D , we have be the GREEN'S functions of first kind for ( 2 ) G1 ( Q , Q ' ) - G2 ( Q , Q ...
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