Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa 23
... conditions ( 2 ) and ( 3 ) . Thus suppose that the function ( 5 ) ( M1 , M , t ) = u ( M1 , M , t ) has been prescribed . It is convenient to reduce the stated problem by use of the boundary condition ( 3 ) to an equivalent problem for ...
... conditions ( 2 ) and ( 3 ) . Thus suppose that the function ( 5 ) ( M1 , M , t ) = u ( M1 , M , t ) has been prescribed . It is convenient to reduce the stated problem by use of the boundary condition ( 3 ) to an equivalent problem for ...
Sayfa 28
... boundary conditions such as ( 2 ) and ( 3 ) is given by ( 1 ) O u ( M , M , t ) == s ( t - r ( M , M ) ) O 2π г ( M , M In this formula r ( M , M ) is the distance between the points M and M. O The solution to equation ( 9 ) of Sec . 1 ...
... boundary conditions such as ( 2 ) and ( 3 ) is given by ( 1 ) O u ( M , M , t ) == s ( t - r ( M , M ) ) O 2π г ( M , M In this formula r ( M , M ) is the distance between the points M and M. O The solution to equation ( 9 ) of Sec . 1 ...
Sayfa 51
... boundary conditions . Here a and b are bounded continuous functions and A is a parameter . The following three types of boundary conditions are usually considered : 1 ) V takes on prescribed values on the boundary S of D : ( 1a ) = f S ...
... boundary conditions . Here a and b are bounded continuous functions and A is a parameter . The following three types of boundary conditions are usually considered : 1 ) V takes on prescribed values on the boundary S of D : ( 1a ) = f S ...
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