Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
7 sonuçtan 1-3 arası sonuçlar
Sayfa
... Space 22 .. 24 3. Two Formulations of the Linearized Inverse Problem in Three - Dimensional Space 28 .... 4 ... Half - Plane 2. n - Dimensional Inverse Heat Conduction Problems 3. Application of the Problems to Geophysics 39 45 ... 49 CHAPTER ...
... Space 22 .. 24 3. Two Formulations of the Linearized Inverse Problem in Three - Dimensional Space 28 .... 4 ... Half - Plane 2. n - Dimensional Inverse Heat Conduction Problems 3. Application of the Problems to Geophysics 39 45 ... 49 CHAPTER ...
Sayfa 54
... Half - Space We shall assume a ( P ) a2 = = = const . , P and the domain D to be the half - space ( E , n , ) , b ( P ) = 0 ≥ 0 . = 0 for 5 < z 21 Equation ( 4 ) thus assumes the form ( 1 - 54 - Inverse Problem for Equation (1) in a Half- ...
... Half - Space We shall assume a ( P ) a2 = = = const . , P and the domain D to be the half - space ( E , n , ) , b ( P ) = 0 ≥ 0 . = 0 for 5 < z 21 Equation ( 4 ) thus assumes the form ( 1 - 54 - Inverse Problem for Equation (1) in a Half- ...
Sayfa 56
... half - space has at most one solution for which the following representation is valid : ( 5a ) ∞ ∞ b ( c , n , c ) ... half - space and the corresponding problem for the half - plane is that we have made use of excess information ...
... half - space has at most one solution for which the following representation is valid : ( 5a ) ∞ ∞ b ( c , n , c ) ... half - space and the corresponding problem for the half - plane is that we have made use of excess information ...
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