Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 1
... . Section 1 considers the problem of reconstructing a two - dimensional function from its integrals over a family of ellipses with one focus fixed and the other running over the points of a CHAPTER Some Problems of Integral Geometry.
... . Section 1 considers the problem of reconstructing a two - dimensional function from its integrals over a family of ellipses with one focus fixed and the other running over the points of a CHAPTER Some Problems of Integral Geometry.
Sayfa 2
... fixed at the origin and the other running over all points of the hyperplane S s = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine u ( x , s ) ...
... fixed at the origin and the other running over all points of the hyperplane S s = 0. Only ellipsoids ob- tained by revolving an ellipse around the line joining the two foci are to be considered . It is required to determine u ( x , s ) ...
Sayfa 42
... fixed n ) is equal to zero for almost everywhere . Therefore , the unique solution to equation ( 13 ) is given by ( 13a ) = 1 f ( c , n ) = # ( F ( w , n ) e tutdu · √2 . Thus the inverse problem formulated above for equation ( 2 · - 42.
... fixed n ) is equal to zero for almost everywhere . Therefore , the unique solution to equation ( 13 ) is given by ( 13a ) = 1 f ( c , n ) = # ( F ( w , n ) e tutdu · √2 . Thus the inverse problem formulated above for equation ( 2 · - 42.
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