Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
14 sonuçtan 1-3 arası sonuçlar
Sayfa 5
... relation results in the limit : 2 п full Ju ( p . 4 ) u ( p , Ÿ ) cos1Ÿà¶ = p ̃1⁄4 [ L * v ] e = 0 • ( k = 0,1,2 , ... ) For each fixed value of r , these relations alone - 5 -
... relation results in the limit : 2 п full Ju ( p . 4 ) u ( p , Ÿ ) cos1Ÿà¶ = p ̃1⁄4 [ L * v ] e = 0 • ( k = 0,1,2 , ... ) For each fixed value of r , these relations alone - 5 -
Sayfa 6
... relations alone can now be used to construct a Fourier series for u ( r , ) which is convergent for any u Є U by virtue of condition 3 ° . Thus knowing the integrals along ellipses having eccentricity ranging in the interval << 8 where ...
... relations alone can now be used to construct a Fourier series for u ( r , ) which is convergent for any u Є U by virtue of condition 3 ° . Thus knowing the integrals along ellipses having eccentricity ranging in the interval << 8 where ...
Sayfa 34
... relation : ( 8 ) x ( x1 + x ) - S T ( x 1 , x ) • n ( x , y ) ds = TO ( x 1 x 0 ) X n1 ( x , y ) ds n1 - [ { S - " 2 ( x , y ) ds - { " 2 ( x , y ) do ] • n1 ( x , y ) ds yɔds ] . - · r ° ( x 1 , x 0 ) S r ° ( x 1 x 0 ) The ...
... relation : ( 8 ) x ( x1 + x ) - S T ( x 1 , x ) • n ( x , y ) ds = TO ( x 1 x 0 ) X n1 ( x , y ) ds n1 - [ { S - " 2 ( x , y ) ds - { " 2 ( x , y ) do ] • n1 ( x , y ) ds yɔds ] . - · r ° ( x 1 , x 0 ) S r ° ( x 1 x 0 ) The ...
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