Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 36
... earth's radius ( see , for example , [ 5 ] and [ 14 ] ) . A theoretical basis for the problem and a method for solving it were given in the previous- ly mentioned articles [ 14 ] and [ 37 ] . In principle , to solve the problem , one ...
... earth's radius ( see , for example , [ 5 ] and [ 14 ] ) . A theoretical basis for the problem and a method for solving it were given in the previous- ly mentioned articles [ 14 ] and [ 37 ] . In principle , to solve the problem , one ...
Sayfa 37
... earth is inhomogeneous with respect to geographic coordinates . And so the propagation velocities of disturbances should ... earth's surface with coordinates ( 0,4 ) ( in this connection , we are considering the earth to be a unit sphere ) ...
... earth is inhomogeneous with respect to geographic coordinates . And so the propagation velocities of disturbances should ... earth's surface with coordinates ( 0,4 ) ( in this connection , we are considering the earth to be a unit sphere ) ...
Sayfa 38
... earth's mantle . The differentiability requirement can be satisfied by making small changes in n ( r ) in the norm of the space C. Thus solving the integral - geometric problem , we determine n1 ( r , 0,4 ) in each great circular cross ...
... earth's mantle . The differentiability requirement can be satisfied by making small changes in n ( r ) in the norm of the space C. Thus solving the integral - geometric problem , we determine n1 ( r , 0,4 ) in each great circular cross ...
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