Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
32 sonuçtan 6-10 arası sonuçlar
Sayfa 3
... question of uniqueness of a solution to this problem in the class of even functions of S and this we shall do in the following . In addition , there is obviously no loss of generality in assuming that u ( 0,0 ) = 0. To simplify the ...
... question of uniqueness of a solution to this problem in the class of even functions of S and this we shall do in the following . In addition , there is obviously no loss of generality in assuming that u ( 0,0 ) = 0. To simplify the ...
Sayfa 5
... problem . Consider a circle of radius r 。 in the ( x , s ) -plane and all ellipses of eccentricity 0 ≤ € < 1 falling inside the circle . It is required to determine a function u ( r , Y ) € U from its integrals over this family of ...
... problem . Consider a circle of radius r 。 in the ( x , s ) -plane and all ellipses of eccentricity 0 ≤ € < 1 falling inside the circle . It is required to determine a function u ( r , Y ) € U from its integrals over this family of ...
Sayfa 6
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Sayfa 13
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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