Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
5 sonuçtan 1-3 arası sonuçlar
Sayfa
... Telegraph Equation ... 22 1. Statement of the Inverse Problem and Its Linearization 2. Linearized One - Dimensional Inverse Problem in Two- Dimensional Space 22 .. 24 3. Two Formulations of the Linearized Inverse Problem in Three ...
... Telegraph Equation ... 22 1. Statement of the Inverse Problem and Its Linearization 2. Linearized One - Dimensional Inverse Problem in Two- Dimensional Space 22 .. 24 3. Two Formulations of the Linearized Inverse Problem in Three ...
Sayfa
... telegraph equation with the help of the results of Chapter 1 while Chapter 3 does the same thing for the wave equation . Chapters 4 and 5 deal with inverse problems for the heat equation and for elliptic equations . They are reduced to ...
... telegraph equation with the help of the results of Chapter 1 while Chapter 3 does the same thing for the wave equation . Chapters 4 and 5 deal with inverse problems for the heat equation and for elliptic equations . They are reduced to ...
Sayfa 22
... Telegraph Equation Consider the problem of determining the coefficient a ( x , y , z ) a ( x , y , z ) in the telegraph equation 224 225 224 224 at = ах + + a ( x , y , z ) u ду az in the domain 220 from the value of the solution to the ...
... Telegraph Equation Consider the problem of determining the coefficient a ( x , y , z ) a ( x , y , z ) in the telegraph equation 224 225 224 224 at = ах + + a ( x , y , z ) u ду az in the domain 220 from the value of the solution to 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 |
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