Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa 11
... operator L defined by a ( 6 ) Lv = θε fv ( 200 ) v ( z , e ) Z and apply it to ( 4 ) . Its validity is justified by the HOLDER condition for the function u ( r , ) . Indeed , ( 6a ) p pf ( ε , ε cos ) a dz = θε Ꮓ Sp , € LVK = Su ( r ...
... operator L defined by a ( 6 ) Lv = θε fv ( 200 ) v ( z , e ) Z and apply it to ( 4 ) . Its validity is justified by the HOLDER condition for the function u ( r , ) . Indeed , ( 6a ) p pf ( ε , ε cos ) a dz = θε Ꮓ Sp , € LVK = Su ( r ...
Sayfa 20
... operator L defined by ( 2 ) a ах Lv = xv ( x , r ) + r } x / pv ( x , p ) dp = x Juc u ( x + r.cos , r.sin¶ ) d¶ + r ах پرپر u ( t , s ) dds ( x - 5 ) 2 + s2 < r2 2 we obtain Lv = ( 2a ) = X = = 2 п x + r u ( x + r.cosy , r.sinf ) df + ...
... operator L defined by ( 2 ) a ах Lv = xv ( x , r ) + r } x / pv ( x , p ) dp = x Juc u ( x + r.cos , r.sin¶ ) d¶ + r ах پرپر u ( t , s ) dds ( x - 5 ) 2 + s2 < r2 2 we obtain Lv = ( 2a ) = X = = 2 п x + r u ( x + r.cosy , r.sinf ) df + ...
Sayfa 27
... operator L defined by ( 17 ) We thus obtain S LY = d ds S ( 17a ) d = ds a ( n ) LY = 2s s - n1 S = a ( s ) R ( s , s ) + 2 s S - n ļ d ds -n1 S 1 } a ( ཀ ) a 2s dn1 ang ལྕཊྛི ཀྑཱུ x ( / ནྟཱི ཊྛི +༢༠ ཏྟཱི ༡ ) ༠༠ ] ༧༡ ) K ( K ( +4 2 n ) ...
... operator L defined by ( 17 ) We thus obtain S LY = d ds S ( 17a ) d = ds a ( n ) LY = 2s s - n1 S = a ( s ) R ( s , s ) + 2 s S - n ļ d ds -n1 S 1 } a ( ཀ ) a 2s dn1 ang ལྕཊྛི ཀྑཱུ x ( / ནྟཱི ཊྛི +༢༠ ཏྟཱི ༡ ) ༠༠ ] ༧༡ ) K ( K ( +4 2 n ) ...
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