Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 3
... ellipses and the solid angle will be the polar angle ¶ . = ო At the conclusion of the section , we show how the ... ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where р and ૬ are parameters characterizing the polar ...
... ellipses and the solid angle will be the polar angle ¶ . = ო At the conclusion of the section , we show how the ... ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where р and ૬ are parameters characterizing the polar ...
Sayfa 5
... ellipses falling inside the circle . It is required to determine a function u ( r , Y ) EU from its integrals over this family of ellipses . Let v ( p , ε ) parameter radius p ( 12 ) be a function for which a solution to ( 5 ) exists ...
... ellipses falling inside the circle . It is required to determine a function u ( r , Y ) EU from its integrals over this family of ellipses . Let v ( p , ε ) parameter radius p ( 12 ) be a function for which a solution to ( 5 ) exists ...
Sayfa 6
... ellipses having eccentricity ranging in the interval << 8 where & is an arbitrarily small positive number , we can determine u ( r , ) in the disc rr and hence we can find its integrals along all ellipses lying in this disc . This means ...
... ellipses having eccentricity ranging in the interval << 8 where & is an arbitrarily small positive number , we can determine u ( r , ) in the disc rr and hence we can find its integrals along all ellipses lying in this disc . This means ...
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