Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
2 sonuçtan 1-2 arası sonuçlar
Sayfa 36
... propagating in the earth . Under the assumption that the earth is an elastic sphere for which the velocity of a disturbance ... propagation curves for longitudinal and transverse waves . The variations in these curves range from 10 to 15 ...
... propagating in the earth . Under the assumption that the earth is an elastic sphere for which the velocity of a disturbance ... propagation curves for longitudinal and transverse waves . The variations in these curves range from 10 to 15 ...
Sayfa 37
... propagation velocities differ little from those corresponding to the distribution depending just on the radius . - Let n ( r , 0,4 ) be the reciprocal of the ( longitudinal or transverse ) wave propagation speed . We can thus represent ...
... propagation velocities differ little from those corresponding to the distribution depending just on the radius . - Let n ( r , 0,4 ) be the reciprocal of the ( longitudinal or transverse ) wave propagation speed . We can thus represent ...
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