Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
43 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... data can grow as exp ( a | y | a ′ ) –V * - outside -V , and inside - they can allow a polynomial upper bound . For example , we can solve the Cauchy problem for the equation ди at อิน = a1 + ay 3 дзи a ; > 0 , n - 1 ( 4 ) with initial data ...
... data can grow as exp ( a | y | a ′ ) –V * - outside -V , and inside - they can allow a polynomial upper bound . For example , we can solve the Cauchy problem for the equation ди at อิน = a1 + ay 3 дзи a ; > 0 , n - 1 ( 4 ) with initial data ...
Sayfa 44
Jacques Hadamard. The plane which bears Cauchy's data is t = const .: such a plane cuts only one sheet of the ... data on the latter are Dirichlet - like ones . We never meet with a correctly set Cauchy problem with respect to varieties ...
Jacques Hadamard. The plane which bears Cauchy's data is t = const .: such a plane cuts only one sheet of the ... data on the latter are Dirichlet - like ones . We never meet with a correctly set Cauchy problem with respect to varieties ...
Sayfa 54
... Cauchy , Sophia Kowalewska succeeded in proving in 1875 that the Cauchy problem for a wide class of analytic partial differential equations can always be solved ( if only locally ) if the surface and the Cauchy data of u are analytic ...
... Cauchy , Sophia Kowalewska succeeded in proving in 1875 that the Cauchy problem for a wide class of analytic partial differential equations can always be solved ( if only locally ) if the surface and the Cauchy data of u are analytic ...
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