Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
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15 sonuçtan 1-3 arası sonuçlar
Sayfa
... operator is required to be found from the spectral function of the operator . In [ 19 ] and [ 2 ] , a number of problems invol- ving the determination of the coefficients of a partial differential equation are shown to be reducible to ...
... operator is required to be found from the spectral function of the operator . In [ 19 ] and [ 2 ] , a number of problems invol- ving the determination of the coefficients of a partial differential equation are shown to be reducible to ...
Sayfa 9
... operator Lk to equation ( 23 ) keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ( 24 ) S u ( rQ • E ) ykkaw = Ikv s Sp , q , ε ( k = 0,1,2 , ... ) • Note that by virtue of the orthogonality of the transformation ...
... operator Lk to equation ( 23 ) keeping q fixed , where L is the operator defined by ( 6 ) , we obtain ( 24 ) S u ( rQ • E ) ykkaw = Ikv s Sp , q , ε ( k = 0,1,2 , ... ) • Note that by virtue of the orthogonality of the transformation ...
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 + ...
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 | |
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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