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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 10
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Original Articles

Large time decay of solutions to Burgers type equations

Nakao Hayashi Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Toyonaka, 560-0043, JapanCorrespondence[email protected]
,
Naoko Ito Department of Mathematics, Faculty of Science, Tokyo University of Science, 26 Wakamiya-cho, Shinjuku-ku, Tokyo, 162-0827, Japan
,
Elena I. Kaikina Departamento de Ciencias Básicas, Instituto Tecnológico de Morelia, CP 58120, Morelia, Michoacán, México
&
Pavel I. Naumkin Instituto de Matemáticas, UNAM, Campus Morelia, AP 61-3 (Xangari), Morelia, CP 58089, Michoacán, Mexico
Pages 1005-1024 | Received 02 May 2003, Accepted 03 Nov 2004, Published online: 23 Aug 2006

References

  • Bardos , C , Penel , P , Frisch , U and Sulem , PL . 1979 . Modified dissipativity for a nonlinear evolution equation arising in turbulence . Archive for Rational Mechanics and Analysis , 71 : 237 – 256 .
  • Biler , P , Funaki , T and Woyczynski , WA . 1998 . Fractal Burgers equations . Journal of Differential Equations , 148 : 9 – 46 .
  • Biler , P , Karch , G and Woyczynski , WA . 2001 . Asymptotics for conservation laws involving Lévy diffusion generators . Studia Mathematica , 148 ( 2 ) : 171 – 192 .
  • Biler , P , Karch , G and Woyczynski , WA . 2001 . Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws . Annales de l’Institut Henri Poincare. Analyse Non Lineaire , 18 ( 5 ) : 613 – 637 .
  • Escobedo , M and Zuazua , E . 1991 . Large time behavior for convection-diffusion equations in R n . Journal of Functional Analysis , 100 : 119 – 161 .
  • Hayashi , N , Ito , N , Kaikina , EI and Naumkin , PI . 2004 . On some nonlinear dissipative equations with sub-critical nonlinearities . Taiwanese Journal of Mathematics , 8 : 135 – 154 .
  • Hayashi , N , Kaikina , EI and Naumkin , PI . 2000 . Large time behavior of solutions to the dissipative nonlinear Schrödinger equation . Proceedings of the Royal Society Edingburgh , 130A : 1029 – 1043 .
  • Komatsu , T . 1984 . On the martingale problem for generators of stable processes with perturbations . Osaka Journal of Mathematics , 21 : 113 – 132 .
  • Karch , G and Schonbek , ME . 2002 . On zero mass solutions of viscous conservation laws . Communications in Partial Differential Equations , 27 : 2071 – 2100 .
  • Miyakawa , T . 1996 . Hardy spaces of solenoidal vector fields, with applications to the Navier–Stokes equations . Kyushu Journal of Mathematics , 50 : 1 – 64 .
  • Shlesinger MF Zaslavsky GM Frisch U (Eds) 1995 Lévy flights and related topics in physics Lecture Notes in Physics vol. 450 Berlin Springer-Verlag
  • Taylor , M . 1992 . Analysis on Morrey spaces and application to Navier–Stokes and other evolution equations . Communications in Partial Differential Equations , 17 : 1407 – 1456 .

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