Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 6
... construct a Fourier series for u ( r , ) which is convergent for any u Є U by virtue of condition 3 ° . Thus knowing the integrals along ellipses having eccentricity ranging in the interval << 8 where & is an arbitrarily small positive ...
... construct a Fourier series for u ( r , ) which is convergent for any u Є U by virtue of condition 3 ° . Thus knowing the integrals along ellipses having eccentricity ranging in the interval << 8 where & is an arbitrarily small positive ...
Sayfa 10
... construct an inversion formula in a similar way to the case n = 1 . 2. Generalization to Analytic Curves The method of determining a function from its integrals discussed in the preceding section can easily be generalized to surfaces of ...
... construct an inversion formula in a similar way to the case n = 1 . 2. Generalization to Analytic Curves The method of determining a function from its integrals discussed in the preceding section can easily be generalized to surfaces of ...
Sayfa 19
... constructed a solution to equation ( 2 ) . By Theorem 5 , it is unique . Collecting the above results , we arrive at the ... construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean ...
... constructed a solution to equation ( 2 ) . By Theorem 5 , it is unique . Collecting the above results , we arrive at the ... construct a solution to ( 2 ) in D in a similar way . 4. On the Problem of Determining a Function from its Mean ...
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