Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
20 sonuçtan 1-5 arası sonuçlar
Sayfa
... Application of the Linearized Version of the Inverse Kinematic Problem to Geophysics 33 36 ... CHAPTER 4 - Inverse Heat Conduction Problems with Continuously Active Sources 39 1. Inverse Heat Conduction Problems for a Half - Plane 2. n ...
... Application of the Linearized Version of the Inverse Kinematic Problem to Geophysics 33 36 ... CHAPTER 4 - Inverse Heat Conduction Problems with Continuously Active Sources 39 1. Inverse Heat Conduction Problems for a Half - Plane 2. n ...
Sayfa
... application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods used to prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
... application of the general methods developed in [ 20 ] and [ 35 ] for linear equations . The methods used to prove uniqueness lead to special algorithms for the problems . They also make possible the derivation of estimates ...
Sayfa 3
... c2 ) . - ( 5 ) u ( r cos , r sin ) d = v ( p , e ) v ( p , c ) , > with r given by ( 4 ) . We apply to both sides of ( 5 ) the operator L defined by ( 6 ) Lv = p P 9/5 де S v ( z , e ) dz Z > When equation ( 5 ) has a solution in - 3 -
... c2 ) . - ( 5 ) u ( r cos , r sin ) d = v ( p , e ) v ( p , c ) , > with r given by ( 4 ) . We apply to both sides of ( 5 ) the operator L defined by ( 6 ) Lv = p P 9/5 де S v ( z , e ) dz Z > When equation ( 5 ) has a solution in - 3 -
Sayfa 4
... applying it are substantiated by the following sequence of equations : ( 6a ) Lv = p δε = p მ де 2π 2π 2π 12 Sur2cos , r2 sin❤ ) a rz ау u ( r2 cos , r2 sin ) dz Z ay E u ( r cos❤ , r sin❤ ) dr 2π u ( rp cosy , гp sin ) гр cos4 14 ...
... applying it are substantiated by the following sequence of equations : ( 6a ) Lv = p δε = p მ де 2π 2π 2π 12 Sur2cos , r2 sin❤ ) a rz ау u ( r2 cos , r2 sin ) dz Z ay E u ( r cos❤ , r sin❤ ) dr 2π u ( rp cosy , гp sin ) гр cos4 14 ...
Sayfa 6
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İçindekiler
1 | |
Linearized Inverse Dynamic Problem for the Telegraph | 22 |
Derivation of a Nonlinear Differential Equation for | 31 |
CHAPTER 4 | 39 |
CHAPTER 5 | 52 |
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 belong boundary conditions CAUCHY data chapter consider const construct 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 f(x,y functions u(r fundamental solution given GREEN'S function half-plane half-space HÖLDER condition hyperplane inequality 16 initial and boundary integral equation integral geometry integral-geometric problem Introduce the notation Inverse Kinematic Inverse Kinematic Problem inversion formula kernel L₁(D linearized inverse problem M₁ mean values multidimensional inverse problems obtain operator L defined parameters polar problem for equation problem of determining Q₂ R₂ relations right-hand side second kind sense of HADAMARD SM,t solution to equation space STURM-LIOUVILLE equations 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 ду