Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
18 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... space to which the solution of a problem is to belong . With applications of integral geometry to the study of linearized problems in mind , the most natural one for our purposes is the space с of contin- uous functions . Throughout the ...
... space to which the solution of a problem is to belong . With applications of integral geometry to the study of linearized problems in mind , the most natural one for our purposes is the space с of contin- uous functions . Throughout the ...
Sayfa 23
... space , △ is the Laplacian in x , y and z , and a ( M ) is a continuous function in the domain z0 . Throughout the ... space . This we do by continuing a ( M ) and f ( M , M , t ) as even functions into the half- space Z < 0 . We ...
... space , △ is the Laplacian in x , y and z , and a ( M ) is a continuous function in the domain z0 . Throughout the ... space . This we do by continuing a ( M ) and f ( M , M , t ) as even functions into the half- space Z < 0 . We ...
Sayfa 28
... Space For three - dimensional space , the function u ( M , M , t ) that satisfies equation ( 7 ) of Sec . 1 and homogeneous initial and boundary conditions such as ( 2 ) and ( 3 ) is given by ( 1 ) O u ( M , M , t ) == s ( t - r ( M , M ) ...
... Space For three - dimensional space , the function u ( M , M , t ) that satisfies equation ( 7 ) of Sec . 1 and homogeneous initial and boundary conditions such as ( 2 ) and ( 3 ) is given by ( 1 ) O u ( M , M , t ) == s ( t - r ( M , M ) ...
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