Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
13 sonuçtan 1-3 arası sonuçlar
Sayfa 2
... known . Here ო = v ( x , t ) = Suc u ( x , s ) dw So , t is the solid angle in ( x , s ) -space with vertex at the origin . In accordance with the above discussion , we shall assume that u ( x , s ) belongs to the - 2 - Problem of ...
... known . Here ო = v ( x , t ) = Suc u ( x , s ) dw So , t is the solid angle in ( x , s ) -space with vertex at the origin . In accordance with the above discussion , we shall assume that u ( x , s ) belongs to the - 2 - Problem of ...
Sayfa 24
... known value of its solution for z = 0 , ( 10 ) u1 | z = 0 = 1 P1 ( M1Mt ) under conditions on u1 ( M , M , t ) analogous to ( 2 ) and ( 3 ) . 2. Linearized One - Dimensional Inverse Problem in Two - Dimensional Space In this section ...
... known value of its solution for z = 0 , ( 10 ) u1 | z = 0 = 1 P1 ( M1Mt ) under conditions on u1 ( M , M , t ) analogous to ( 2 ) and ( 3 ) . 2. Linearized One - Dimensional Inverse Problem in Two - Dimensional Space In this section ...
Sayfa 42
... known that if the FOURIER transform ∞ 1 ( 13 ) F ( w , n ) = √277 of a summable function all w , then f ( 5 , n ) = 0 -1ωξ f ( , n ) e αξ f ( § , n ) ( for fixed n ) is equal to zero for almost everywhere . Therefore , the unique ...
... known that if the FOURIER transform ∞ 1 ( 13 ) F ( w , n ) = √277 of a summable function all w , then f ( 5 , n ) = 0 -1ωξ f ( , n ) e αξ f ( § , n ) ( for fixed n ) is equal to zero for almost everywhere . Therefore , the unique ...
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 |
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