Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa
... assumed there that the coefficients are functions of a single variable . The second is in problems of potential theory ( [ 17 ] , [ 20 ] , [ 25 ] , [ 29 ] , [ 33 ] ) . In the inverse problems of this type , the right - hand side of an ...
... assumed there that the coefficients are functions of a single variable . The second is in problems of potential theory ( [ 17 ] , [ 20 ] , [ 25 ] , [ 29 ] , [ 33 ] ) . In the inverse problems of this type , the right - hand side of an ...
Sayfa 14
... assume them to be continuous in r and and # 41 ( P2P ) = 42 ( P2p ) 0. The functions до 4 , ( r , p ) J for 0 < < r≤ 1 2 r - B and √ ( r - B ) 3 J ar arap will also be assumed continuous in this same region . Observe that a twice ...
... assume them to be continuous in r and and # 41 ( P2P ) = 42 ( P2p ) 0. The functions до 4 , ( r , p ) J for 0 < < r≤ 1 2 r - B and √ ( r - B ) 3 J ar arap will also be assumed continuous in this same region . Observe that a twice ...
Sayfa 54
... assume a ( P ) a2 = = = const . , P and the domain D to be the half - space ( E , n , ) , b ( P ) = 0 ≥ 0 . = 0 for 5 < z 21 Equation ( 4 ) thus assumes the form ( 1 - 54 - Inverse Problem for Equation (1) in a Half-Space.
... assume a ( P ) a2 = = = const . , P and the domain D to be the half - space ( E , n , ) , b ( P ) = 0 ≥ 0 . = 0 for 5 < z 21 Equation ( 4 ) thus assumes the form ( 1 - 54 - Inverse Problem for Equation (1) in a Half-Space.
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