Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
6 sonuçtan 1-3 arası sonuçlar
Sayfa 9
... surface of the ellipsoid of revolution with parameters Just as in the preceding , by applying the operator Lk to equation ( 23 ) keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ( 24 ) S u ( rQ • E ) ykkaw = Ikv s ...
... surface of the ellipsoid of revolution with parameters Just as in the preceding , by applying the operator Lk to equation ( 23 ) keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ( 24 ) S u ( rQ • E ) ykkaw = Ikv s ...
Sayfa 10
... surfaces of revolution more general than ellipsoids . However , we shall confine ourselves to the case n = 1 , in other words , plane curves . Moreover , we shall only con- sider curves symmetric about the x - axis ( s = 0 ) . However ...
... surfaces of revolution more general than ellipsoids . However , we shall confine ourselves to the case n = 1 , in other words , plane curves . Moreover , we shall only con- sider curves symmetric about the x - axis ( s = 0 ) . However ...
Sayfa 37
... surface with co- ordinates ( , ) to another point M on the earth's surface with coordinates ( 0,4 ) ( in this connection , we are considering the earth to be a unit sphere ) . We can represent it in the form ( B ) = + ( 0,4,0,9 ) To ( 0 ...
... surface with co- ordinates ( , ) to another point M on the earth's surface with coordinates ( 0,4 ) ( in this connection , we are considering the earth to be a unit sphere ) . We can represent it in the form ( B ) = + ( 0,4,0,9 ) To ( 0 ...
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