Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
11 sonuçtan 1-3 arası sonuçlar
Sayfa 10
... ) a function u ( r , Y ) even in ❤ . Therefore throughout the following when we speak of a solution to ( 2 ) we shall mean an even function of Y. The following theorem holds . Theorem 4 : If equation · 10 Generalization to Analytic Curves.
... ) a function u ( r , Y ) even in ❤ . Therefore throughout the following when we speak of a solution to ( 2 ) we shall mean an even function of Y. The following theorem holds . Theorem 4 : If equation · 10 Generalization to Analytic Curves.
Sayfa 34
... holds : Theorem 11 : The function ( x 1 x 0 ) T can be represented to within in- 1 19 finitesimals of order n 2 by ... hold , 34 -
... holds : Theorem 11 : The function ( x 1 x 0 ) T can be represented to within in- 1 19 finitesimals of order n 2 by ... hold , 34 -
Sayfa 35
... hold , it is necessary that the expressions in brackets in ( 8 ) have the same order of smallness . T1 ( x1 , x ) ... holds in linear approximation . Since the function n ( x , y ) is known , by solving a geometric optics problem , we ...
... hold , it is necessary that the expressions in brackets in ( 8 ) have the same order of smallness . T1 ( x1 , x ) ... holds in linear approximation . Since the function n ( x , y ) is known , by solving a geometric optics problem , we ...
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