Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
22 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... considering linearized inverse problems for the simplest equations of mathematical physics . Some of them lead to the ... consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD . We ...
... considering linearized inverse problems for the simplest equations of mathematical physics . Some of them lead to the ... consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD . We ...
Sayfa 17
... consider what properties the functions v ( p , a ) must have as images of the functions u ( r , ) under the mapping defined by ( 2 ) . As before , we make a slight contraction in the class of continuous functions . Namely , we consider ...
... consider what properties the functions v ( p , a ) must have as images of the functions u ( r , ) under the mapping defined by ( 2 ) . As before , we make a slight contraction in the class of continuous functions . Namely , we consider ...
Sayfa 22
... Consider the problem of determining the coefficient a ( x , y , z ) a ( x , y , z ) in the telegraph equation 224 225 224 224 at = ах + + a ( x , y , z ) u ду az in the domain 220 from the value of the solution to the CAUCHY problem for ...
... Consider the problem of determining the coefficient a ( x , y , z ) a ( x , y , z ) in the telegraph equation 224 225 224 224 at = ах + + a ( x , y , z ) u ду az in the domain 220 from the value of the solution to the CAUCHY problem for ...
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