Multidimensional Inverse Problems for Differential EquationsSpringer, 15 Kas 2006 - 58 sayfa |
Kitabın içinden
23 sonuçtan 1-5 arası sonuçlar
Sayfa 1
... considering linearized inverse problems for the simplest equations of mathematical physics . Some of them lead to the ... consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD . We ...
... considering linearized inverse problems for the simplest equations of mathematical physics . Some of them lead to the ... consider . The problem of finding a function from its integrals is not well - posed in the sense of HADAMARD . We ...
Sayfa 2
... considers the determination of a funct- ion inside a circle of unit radius from its integrals over a family of curves ... Consider the following problem in ( n + 1 ) -dimensional space . The inte- grals of a function u ( x , s ) = u ( x1 ...
... considers the determination of a funct- ion inside a circle of unit radius from its integrals over a family of curves ... Consider the following problem in ( n + 1 ) -dimensional space . The inte- grals of a function u ( x , s ) = u ( x1 ...
Sayfa 4
... ( 4 ) exists , it is unique . We next consider how relations ( 8 ) may be used to express the function u ( x , s ) explicitly in terms of v ( p , ɛ ) . At the same time , we shall study the properties needed by v ( p , e ) - · 4 -
... ( 4 ) exists , it is unique . We next consider how relations ( 8 ) may be used to express the function u ( x , s ) explicitly in terms of v ( p , ɛ ) . At the same time , we shall study the properties needed by v ( p , e ) - · 4 -
Sayfa 5
... 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 ellipses ...
... 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 ellipses ...
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