Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 33
... Wave Equation 1. Formulation of the Problem and Its Linearization Consider the wave equation ( 1 ) n2 = ди , at is the LAPLACIAN with be the generalized satisfying the where n is a function of X and y and respect to the same variables ...
... Wave Equation 1. Formulation of the Problem and Its Linearization Consider the wave equation ( 1 ) n2 = ди , at is the LAPLACIAN with be the generalized satisfying the where n is a function of X and y and respect to the same variables ...
Sayfa 36
... waves propagating in the earth . Under the assumption that the earth is an elastic sphere for which the velocity of a disturbance is a function of radius only , the data accumulated from a fairly large number of earthquakes has been ...
... waves propagating in the earth . Under the assumption that the earth is an elastic sphere for which the velocity of a disturbance is a function of radius only , the data accumulated from a fairly large number of earthquakes has been ...
Sayfa 37
... waves most widely accepted today correspond to the JEFFREYS - BULLEN hodograph . Meanwhile , geophysicists now have at their disposal rather reliable information that the structure of the earth is inhomogeneous with respect to ...
... waves most widely accepted today correspond to the JEFFREYS - BULLEN hodograph . Meanwhile , geophysicists now have at their disposal rather reliable information that the structure of the earth is inhomogeneous with respect to ...
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