Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
3 sonuçtan 1-3 arası sonuçlar
Sayfa 43
... vanishes along the boundary of the half - plane . Hence , N ( x , y ; E , n ) is the GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ∞ x ( x , y , x ) ...
... vanishes along the boundary of the half - plane . Hence , N ( x , y ; E , n ) is the GREEN'S function of second kind for the half - plane . The solution to equation ( 4 ) can thus be represented in the following form : ∞ x ( x , y , x ) ...
Sayfa 48
... vanishes for x < a and so F ( w ) a . Therefore equation ( 11 ) has the simpler form vanishes for En < ( 12 ) F ( 5 now ) e - 5√ / w / 12 2x2 + | w | 2 din 2n - 22,2 = α + / w / 2 aλ + 2,2 sinh ( ava - 1 ' + | w | 2 ) G ( w , λ ) . We ...
... vanishes for x < a and so F ( w ) a . Therefore equation ( 11 ) has the simpler form vanishes for En < ( 12 ) F ( 5 now ) e - 5√ / w / 12 2x2 + | w | 2 din 2n - 22,2 = α + / w / 2 aλ + 2,2 sinh ( ava - 1 ' + | w | 2 ) G ( w , λ ) . We ...
Sayfa 51
... vanishing on the boundary S of domain D. The GREEN'S function N ( P , Q ) of second kind is the fundamental solution of ( 1 ) whose normal derivative vanishes on S. Finally , the GREEN'S function of third kind is the fundamental ...
... vanishing on the boundary S of domain D. The GREEN'S function N ( P , Q ) of second kind is the fundamental solution of ( 1 ) whose normal derivative vanishes on S. Finally , the GREEN'S function of third kind is the fundamental ...
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