Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa 3
... ellipses and the solid angle ω will be the polar angle . At the conclusion of the section , we show how the ... ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where p and ૬ are parameters characterizing the polar distance ...
... ellipses and the solid angle ω will be the polar angle . At the conclusion of the section , we show how the ... ellipse in polar coordinates is ( 4 ) r = p ( 1-5 cos ) -1 where p and ૬ are parameters characterizing the polar distance ...
Sayfa 5
... ellipses of eccentricity 0 ≤ε < 1 falling inside the circle . It is required to determine a function u ( r , Y ) € U from its integrals over this family of ellipses . Let v ( p , e ) parameter radius be a function for which a solution ...
... ellipses of eccentricity 0 ≤ε < 1 falling inside the circle . It is required to determine a function u ( r , Y ) € U from its integrals over this family of ellipses . Let v ( p , e ) parameter radius be a function for which a solution ...
Sayfa 6
... ellipses having eccentricity ranging in the interval Oε 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 Oε 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 ...
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 Akad analytic function belong boundary conditions CAUCHY data chapter coefficients consider const continuous function coordinates corresponding cosk Denote derive determining a function differential equation Dokl domain earth's ellipses ellipsoid of revolution expression family of curves following theorem function u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 18 integral equation integral geometry integral-geometric problem Introduce the notation inverse kinematic inverse kinematic problem inversion formula kernel Lavrentiev linearized inverse problem multidimensional inverse problems Nauk SSSR obtain parameters polar potential theory problem for equation problem of determining Problems for Differential R₁ R₂ right-hand side ROMANOV satisfies second kind SM,t solution to equation take FOURIER transforms telegraph equation two-parameter family unique solution uniqueness theorem unit circle variables VOLTERRA equation waves wxxx