Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa
... proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus ... prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
... proved are linear and their solution is reduced to the solution of first - order linear operator equations . Thus ... prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
Sayfa 7
... proved . To this end , note that the function u ( r , Y ) given by ( 15 ) has to satisfy equation ( 5 ) , i.e. , the following identity must hold : ( 18a ) 2π ∞ Σ [ MKV ] = o coska Y = v ( p , ɛ ) . k = 0 ε = 0 p + r [ Mkv ] = should ...
... proved . To this end , note that the function u ( r , Y ) given by ( 15 ) has to satisfy equation ( 5 ) , i.e. , the following identity must hold : ( 18a ) 2π ∞ Σ [ MKV ] = o coska Y = v ( p , ɛ ) . k = 0 ε = 0 p + r [ Mkv ] = should ...
Sayfa 18
... prove the validity of inequality ( 16 ) , we consider the inversion formula for the given problem . After the FOURIER ... proved . The fact that v ( p , a ) belongs to V is also a sufficient condition for a solution to exist for equation ...
... prove the validity of inequality ( 16 ) , we consider the inversion formula for the given problem . After the FOURIER ... proved . The fact that v ( p , a ) belongs to V is also a sufficient condition for a solution to exist for equation ...
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