Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
8 sonuçtan 1-3 arası sonuçlar
Sayfa
... uniqueness theorem . The monograph consists primarily of proofs of uniqueness theorems for the formulations in question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the ...
... uniqueness theorem . The monograph consists primarily of proofs of uniqueness theorems for the formulations in question . The inverse problems for which uniqueness theorems will be proved are linear and their solution is reduced to the ...
Sayfa 3
... uniqueness theorem holds . Theorem 1 : If equation ( 2 ) has a solution belonging to с satisfying a Hölder condition in a neighborhood of the origin , then it is unique . By solution here , we mean an even function of S vanishing at the ...
... uniqueness theorem holds . Theorem 1 : If equation ( 2 ) has a solution belonging to с satisfying a Hölder condition in a neighborhood of the origin , then it is unique . By solution here , we mean an even function of S vanishing at the ...
Sayfa 54
... uniqueness theorem for equation ( 1 ) in a half - plane . Theorem : The inverse problem for equation ( 1 ) has at most one solution in the class of absolutely integrable functions . The entire above discussion is clearly valid for the ...
... uniqueness theorem for equation ( 1 ) in a half - plane . Theorem : The inverse problem for equation ( 1 ) has at most one solution in the class of absolutely integrable functions . The entire above discussion is clearly valid for the ...
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