Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa
... question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them ...
... question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them ...
Sayfa 17
... question , namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) ų ( r ) = MV , 0 , ± 1 , ± ( k = 0 , 1 , 2 ...
... question , namely , they are given by ( 12 ) , a resolvent may be con- structed for each such equation . As the result of inverting ( 11 ) , we obtain the set of formulas , ( 13 ) ų ( r ) = MV , 0 , ± 1 , ± ( k = 0 , 1 , 2 ...
Sayfa 19
... question of determining an even function of s , u ( x1 , x2 , ... x , s ) from its mean values over spheres of arbitrary • • • Xn ' radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function ...
... question of determining an even function of s , u ( x1 , x2 , ... x , s ) from its mean values over spheres of arbitrary • • • Xn ' radius with centers at points of the hyperplane S = 0 is considered . It is shown that such a function ...
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