Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
9 sonuçtan 1-3 arası sonuçlar
Sayfa
... reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them numerically by application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods ...
... reduced to the solution of first - order linear operator equations . Thus algorithms may be constructed to solve them numerically by application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods ...
Sayfa 22
... reduced to an integral- geometric problem considered in Chapter 1. To determine the coefficient , we need to know information of the same dimensionality as that of the coefficient a ( x , y , z ) . 1. Statement of the Inverse Problem ...
... reduced to an integral- geometric problem considered in Chapter 1. To determine the coefficient , we need to know information of the same dimensionality as that of the coefficient a ( x , y , z ) . 1. Statement of the Inverse Problem ...
Sayfa 43
... reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ( 4 ) . An integral equation analogous to ( 8 ) may be derived by ...
... reduced the inverse problem ( 2 ) , ( 3 ) to integral equation ( 8 ) with the help of formula ( 5 ) which was the solution to the DIRICHLET problem for equation ( 4 ) . An integral equation analogous to ( 8 ) may be derived by ...
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