Hölder regularity of the gradient for the non‐homogeneous parabolic  p ( x , t )‐Laplacian equations | Zendy

Yao Fengping | Zendy

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Hölder regularity of the gradient for the non‐homogeneous parabolic p ( x , t )‐Laplacian equations

Author(s) -

Yao Fengping

Publication year - 2014

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.2953

Subject(s) - mathematics , homogeneous , hölder condition , laplace operator , mathematical analysis , parabolic partial differential equation , p laplacian , pure mathematics , combinatorics , partial differential equation , boundary value problem

In this paper, we obtain the local Hölder regularity of the gradient of weak solutions for the non‐homogeneous parabolic p ( x , t )‐Laplacian equationsu t − divA ∇ u ⋅ ∇ up ( x ) − 2 2A ∇ u = div | f | p ( x ) − 2 f , provided p ( x , t ), A and f are Hölder continuous functions. Copyright © 2013 John Wiley & Sons, Ltd.

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