Multidimensional Inverse Problems for Differential EquationsSpringer, 21 Ara 1970 - 59 sayfa |
Kitabın içinden
12 sonuçtan 1-3 arası sonuçlar
Sayfa 15
... respect to Ρ are additional restrictions on the density with which the curves of the family cover the unit circle . Thus suppose that the integrals of u ( r , Y ) with respect to arclength are known on the family of curves satisfying ...
... respect to Ρ are additional restrictions on the density with which the curves of the family cover the unit circle . Thus suppose that the integrals of u ( r , Y ) with respect to arclength are known on the family of curves satisfying ...
Sayfa 41
... respect to using the relation ( see [ 7 ] ) ( 7 ) S2x [ b ( c2 + t π cos ut dt = 2 + u we obtain ( 7a ) with ( 7b ) Va 2.2 λ + 3 2 Jan = ω a 2.2 λ + 3 2 -e - Inty1l g ( x , λ ) e - 1wx dx , 4242 + 02 ( 2 ( x4 ) πTV √277 1 -1ωξ F ( w ...
... respect to using the relation ( see [ 7 ] ) ( 7 ) S2x [ b ( c2 + t π cos ut dt = 2 + u we obtain ( 7a ) with ( 7b ) Va 2.2 λ + 3 2 Jan = ω a 2.2 λ + 3 2 -e - Inty1l g ( x , λ ) e - 1wx dx , 4242 + 02 ( 2 ( x4 ) πTV √277 1 -1ωξ F ( w ...
Sayfa 44
... respect to x , we wind up with ( 17 ) 2. 2 -na + w G ( w , λ ) = Introduce the notation 2,2 2 p2 = a2x2 + w2 , 2 ( 17a ) 1 2,2 2 F ( w , n ) dn = a - λ tw G ( w , λ ) ∞ П g ( x , λ ) e -iwxdx · # ŠE ( X , A ) • √2 • ( P , w ) = pG ( w ...
... respect to x , we wind up with ( 17 ) 2. 2 -na + w G ( w , λ ) = Introduce the notation 2,2 2 p2 = a2x2 + w2 , 2 ( 17a ) 1 2,2 2 F ( w , n ) dn = a - λ tw G ( w , λ ) ∞ П g ( x , λ ) e -iwxdx · # ŠE ( X , A ) • √2 • ( P , w ) = pG ( w ...
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