Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
19 sonuçtan 1-3 arası sonuçlar
Sayfa 4
... unique fashion a system of moments on each ellipse . Since u ( x , s ) is an even function of s , it is uniquely de- termined by these moments . In other words , if a solution to equation ( 4 ) exists , it is unique . We next consider ...
... unique fashion a system of moments on each ellipse . Since u ( x , s ) is an even function of s , it is uniquely de- termined by these moments . In other words , if a solution to equation ( 4 ) exists , it is unique . We next consider ...
Sayfa 11
... uniquely in terms of v ( p , c ) , this will prove that the reconstruction of u ( r , 4 ) is unique . From ( 3 ) , we find that ( 5a ) V vo ( p , 0 ) v ( p , 0 ) = Introduce the operator L defined by p ( 6 ) a Lv = v ( z , c ) dz θε Z ...
... uniquely in terms of v ( p , c ) , this will prove that the reconstruction of u ( r , 4 ) is unique . From ( 3 ) , we find that ( 5a ) V vo ( p , 0 ) v ( p , 0 ) = Introduce the operator L defined by p ( 6 ) a Lv = v ( z , c ) dz θε Z ...
Sayfa 13
... unique . Thus all of the functions ( p , 0 ) k ( k = 0,1,2 , ... ) can be found in a unique way . This implies the unique- ness of a solution to equation ( 2 ) . An inversion formula can be derived in the class of functions having ...
... unique . Thus all of the functions ( p , 0 ) k ( k = 0,1,2 , ... ) can be found in a unique way . This implies the unique- ness of a solution to equation ( 2 ) . An inversion formula can be derived in the class of functions having ...
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