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Global solutions of semirelativistic Hartree type equations

Tohru Ozawa|조용근
대한수학회 (The Korean Mathematical Society)|2007.09|대한수학회지 (Journal of the KMS)|제44권 제5호|pp. 1065-1078

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참고문헌

주제분류수학

초록

Abstract

We consider initial value problems for the semirelativisticHartree type equations with cubic convolution nonlinearity F(u) = (V juj2)u. HereV is a sum of two Coulomb type potentials. Under a specieddecay condition and a symmetric condition for the potential V we showthe global existence and scattering of solutions.

참고문헌 (12)

  1. "On the semirelativistic Hartree-type quation", 38(4), pp.1060~1074 (2006)
  2. "On radial solutions of semi-relativistic Hartre quations to appear in Discreteand Continuous Dynamical System Series S"
  3. "Remarks on the relativistic Hartre qua-tions", 827 (2007)
  4. "Mean eld dynamics of boson stars", 60(4), pp.500~545 (2007)
  5. "Mean-eld limit of quantum bose gases and nonlinearHartre quation" (2004), Semin.Equ. Deriv. Partielles,Ecole Polytech., Palaiseau
  6. "Blow-up for nonlinear wave equations describing Boson stars", to appear inComm
  7. "The Chandrasekhar theory of stellar collapse as the limit ofquantum mechanics" (1987)
  8. "Well-posedness for semi-relativistic Hartre quations of critical type toappear in Mathematical Physics"
  9. "Nonrelativistic limit in the energy space fornonlinear Klein-Gordon equations", 322(3), pp.603~621 (2002)
  10. "Small global solutions and the nonrelativistic limit for the nonlinear Diracequation", 19(1), pp.179~184 (2003)
  11. "Remarks on proofs of conservation laws for nonlinear Schrodinger equations", 25(3), pp.403~408 (2006)
  12. "Remarks on proofs of conservation laws for nonlinear Schrodinger equations", 25(3), pp.403~408 (2006)

관련 논문AI추천

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