On critical exponents for some quasilinear parabolic equations | Zendy

Levine Howard A. | Zendy; Lieberman Gary M. | Zendy; Meier Peter | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

On critical exponents for some quasilinear parabolic equations

Author(s) -

Levine Howard A.,

Lieberman Gary M.,

Meier Peter

Publication year - 1990

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670120507

Subject(s) - mathematics , bounded function , parabolic partial differential equation , mathematical analysis , critical exponent , initial value problem , function (biology) , cauchy problem , cauchy distribution , partial differential equation , scaling , geometry , evolutionary biology , biology

We study the Cauchy problem for the quasilinear parabolic equationwhere p > 1 is a parameter and ψ is a smooth, bounded function on (1, ∞) with − ⩽ s ψ′( s )/ψ( s ) ⩽ θ for some θ > 0. If 1 < p < 1 + 2/ N , there are no global positive solutions, whereas if p > 1 + 2/ N , there are global, positive solutions for small initial data.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research