Long-time behaviour of the solution to the Cauchy problem for degenerate parabolic equations with nonpower nonlinearities

We prove the qualitative decay in time estimate of supremum norm of the nonnegative solution to the Cauchy problem for quasilinear degenerate parabolic equations with nonpower nonlinearity. The result obtained is given in terms of the initial data mass and nonlinearity structure. In particular, if the nonlinearity of the equation is power like, then our result coincides with well-known optimal bound. © 2021 Informa UK Limited, trading as Taylor & Francis Group.

Authors
Tedeev A.F. 1, 2 , Tedeev A.I.2
Journal
Applicable Analysis
Status
Published
Link
External link
DOI
10.1080/00036811.2021.1929933
Year
2021
Organizations
  • 1 Center of Nonlinear Problems of Mathematical Physics, RUDN University, Moscow, Russian Federation
  • 2 South Mathematical Institute of Vladikavkaz Scientific Center of the Russian Academy of Scinences, Vladikavkaz, Russian Federation
Keywords
35K55; 35K59; 35K65; Cauchy problem; degenerate parabolic equations; long-time behaviour; nonpower nonlinearity; Primary: 35B45; Secondary: 35B45
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74471/
Share

Other records