2026-06-15T08:49:02Z https://meral.edu.mm/oai

oai:meral.edu.mm:recid/845 2022-03-24T23:13:05Z 1582963739756:1582967046255 user-um

Propagation Property for Nonlinear Parabolic Equations of p-Laplacian-Type1 Than Sint Khin Ning Su We study propagation property for one-dimensional nonlinear diffusion equations with convection-absorption, including the prototype model ∂t(um) − ∂x(|∂xu|p−1∂xu) − μ|∂xu|q−1∂xu + λuk = 0, where m, p, q, k > 0, and n-dimensional simplified variant ∂t(um) − Δp+1u = 0, where Δp+1u = div (|∇u|p−1∇u). Among the conclusions, we make complete classification of the parameters in the first equation to distinguish its propagation property. For the second equation we rigorously prove that perturbation of the nonnegative solutions propagates at finite speed if and only if m < p. 2009 http://hdl.handle.net/20.500.12678/0000000845 https://meral.edu.mm/records/845