Quasilinear parabolic problem with p(x)-laplacian: existence, uniqueness of weak solutions and stabilization
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Weak Solutions to Parabolic IVP’s
= −divax, t∇u + b⃗x, t ⋅ ∇u + cx, tux, t with aij, bj, c ∈ LUT and for a0 > 0, z⃗ ⋅ aijx, t z⃗ ≥ a0 | z⃗| ∀z⃗ ∀x, t ∈ UT. Then L is said to be uniformly elliptic on UT. We recall that the assumptions on the coefficients aij, bj, c, imply the existence of positive constants, a1,a0 and μ0 such that for all u,v ∈ H1U, and μ > μ0, |Bu,v, t| ≤ a1‖u‖1‖v‖1 a.e. t ∈ 0,T Bu,u, t +...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2016
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-016-0380-3