Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
6 sonuçtan 1-3 arası sonuçlar
Sayfa
... hand side of a differen- tial equation from certain functionals of its solution . Two significant advances have been ... right - hand side of an elliptic partial differential equation has to be determined . Highly restrictive additional ...
... hand side of a differen- tial equation from certain functionals of its solution . Two significant advances have been ... right - hand side of an elliptic partial differential equation has to be determined . Highly restrictive additional ...
Sayfa 49
... right - hand side g ( x , λ ) of equation ( 14 ) is such that the equation has as solution a function f ( x , x ) E L1 ( D ) . Taking FOURIER transforms in ( 14 ) making use of ( 10 ) , we obtain the with respect to X1 , X2 , ••• Xn - 1 ...
... right - hand side g ( x , λ ) of equation ( 14 ) is such that the equation has as solution a function f ( x , x ) E L1 ( D ) . Taking FOURIER transforms in ( 14 ) making use of ( 10 ) , we obtain the with respect to X1 , X2 , ••• Xn - 1 ...
Sayfa 53
... right - hand side f ( x1 , x2 ) of integral equation ( 5 ) the single requirement that the solution b ( 5 , n ) of the equation belong to L1 ( D ) . We take FOURIER transforms in ( 5 ) with respect to in this connection equation ( 7 ) ...
... right - hand side f ( x1 , x2 ) of integral equation ( 5 ) the single requirement that the solution b ( 5 , n ) of the equation belong to L1 ( D ) . We take FOURIER transforms in ( 5 ) with respect to in this connection equation ( 7 ) ...
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 |
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