St. Petersburg Mathematical Journal, 10. cilt,579-1070. sayfalarAmerican Mathematical Society, 1999 |
Kitabın içinden
77 sonuçtan 1-3 arası sonuçlar
Sayfa 879
... SOLUTION OF THE CAUCHY PROBLEM FOR LINEAR ONE - VELOCITY BOLTZMANN EQUATION YU . B. YANUSHANETS ABSTRACT . The object under study is the fundamental solution of the linear one- velocity Boltzmann equation ( Ə / ət + c ( s , ▽ x ) + y ) ...
... SOLUTION OF THE CAUCHY PROBLEM FOR LINEAR ONE - VELOCITY BOLTZMANN EQUATION YU . B. YANUSHANETS ABSTRACT . The object under study is the fundamental solution of the linear one- velocity Boltzmann equation ( Ə / ət + c ( s , ▽ x ) + y ) ...
Sayfa 881
... solution in geometric and probabilistic terms allows us to prove the invariance principle for the nonstationary linear Boltzmann equation . In §3 , in the case of isotropic scattering ( f ( ) = 1 ) the solution is represented as the ...
... solution in geometric and probabilistic terms allows us to prove the invariance principle for the nonstationary linear Boltzmann equation . In §3 , in the case of isotropic scattering ( f ( ) = 1 ) the solution is represented as the ...
Sayfa 898
... solution presented in Corollary 2.5 have not been mentioned before . The way of obtaining the integral representation of problem ( 1.8 ) , ( 1.9 ) for isotropic media has been found as a generalization of the 1 - dimensional results of ...
... solution presented in Corollary 2.5 have not been mentioned before . The way of obtaining the integral representation of problem ( 1.8 ) , ( 1.9 ) for isotropic media has been found as a generalization of the 1 - dimensional results of ...
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American Mathematical Society analytic assume assumptions B₁ Banach algebra Beurling-Sobolev algebra boundary c₁ compact conformal mapping construct continuous convergence Corollary corresponding defined definition denote domain embedding English transl equation equivalent esk₁ estimate exists finite formula Fourier geodesic Hence Hilbert space homeomorphic homotopy implies inequality integral interpolation interval intrinsic metric inverse IP(Z kernel Lemma linear manifold mapping class groups Math Mathematics Subject Classification metric metric spaces mult N₁ nonselfadjoint norm obtain operator-valued function Petersburg polyhedron polynomial problem Proposition proved pure point r.i. space rank one perturbations relation respect scalar selfadjoint selfadjoint operator sequence singular spectrum solution spectral function spline subgroup Subsection subspace sufficiently symmetric operator theory unitary unitary operator upper bounded curvature vector field whence zero