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Applicable Analysis
An International Journal
Volume 90, 2011 - Issue 12: Includes three papers from the Nonlinear PDE and Applications conference
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Papers from the Nonlinear PDE and Applications Conference

Singular perturbations of parabolic equations without boundary layers

Denis R. Akhmetov Sobolev Institute of Mathematics SD RAS and Novosibirsk State University, Novosibirsk, Russia
,
Mikhail M. Lavrentiev Sobolev Institute of Mathematics SD RAS and Novosibirsk State University, Novosibirsk, Russia
&
Renato Spigler Department of Mathematics, Roma Tre University, Rome 00146, ItalyCorrespondence[email protected]
Pages 1803-1818 | Received 12 Jan 2010, Accepted 18 Aug 2010, Published online: 26 Jan 2011

References

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  • Akhmetov , DR , Lavrentiev , MM Jr and Spigler , R . 2002 . Existence and uniqueness of classical solutions to certain nonlinear integrodifferential Fokker-Planck-type equations . Electron. J. Diff. Equ. , 24 : 1 – 17 .
  • Lavrentiev , MM Jr , Spigler , R and Akhmetov , DR . 2001 . Nonlinear integroparabolic equations on unbounded domains: Existence of classical solutions with special properties . Siberian Math. J. , 42 : 495 – 516 .
  • Lavrentiev , MM Jr , Spigler , R and Akhmetov , DR . 2001 . Regularizing a nonlinear integroparabolic Fokker-Planck equation with space-periodic solutions: Existence of strong solutions . Sib. Math. J. , 42 : 693 – 714 .
  • Lavrentiev , MM Jr and Spigler , R . 2000 . Existence and uniqueness of solutions to the Kuramoto-Sakaguchi parabolic integrodifferential equation . Diff. Integral Equ. , 13 : 649 – 667 .
  • Acebrón , JA and Spigler , R . 1998 . Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators . Phys. Rev. Lett. , 81 : 2229 – 2232 .

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