Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
5 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... convergent for any u Є U by virtue of condition 3 ° . Thus knowing the integrals along ellipses having eccentricity ranging in the interval << 8 where & is an arbitrarily small positive number , we can determine u ( r , ) in the disc rr ...
... convergent for any u Є U by virtue of condition 3 ° . Thus knowing the integrals along ellipses having eccentricity ranging in the interval << 8 where & is an arbitrarily small positive number , we can determine u ( r , ) in the disc rr ...
Sayfa 8
... convergent and defines a continuous function u ( p , q ) of p and . Moreover , the FOURIER coefficients for u ( p , q ) coincide with [ Mkv ] = ( k = 0,1,2 , ... ) . By properties 10-30 of v ( p , e ) , the function u EU ( clearly , u ...
... convergent and defines a continuous function u ( p , q ) of p and . Moreover , the FOURIER coefficients for u ( p , q ) coincide with [ Mkv ] = ( k = 0,1,2 , ... ) . By properties 10-30 of v ( p , e ) , the function u EU ( clearly , u ...
Sayfa 17
... continuous functions . Namely , we consider functions u ( r , ) having absolutely convergent FOURIER series , or more precisely , for which ( 14 ) Σ max u ( r ) | < k = -∞ r The set of functions u ( r , Y ) - · - 17 -
... continuous functions . Namely , we consider functions u ( r , ) having absolutely convergent FOURIER series , or more precisely , for which ( 14 ) Σ max u ( r ) | < k = -∞ r The set of functions u ( r , Y ) - · - 17 -
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