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20122026
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math.AP2019★ 21 cited

On existence and regularity of a terminal value problem for the time fractional diffusion equation

Nguyen Huy Tuan, Tran Bao Ngoc, Yong Zhou +1

In this paper we consider a final value problem for a diffusion equation with time-space fractional differentiation on a bounded domain of , , which in…

math.AP2018★ 10 cited

Higher order Sobolev trace inequalities on balls revisited

Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan

Inspired by a recent sharp Sobolev trace inequality of order four on the balls found by Ache and Chang [AC15], we propose a slightly different approach to reprove…

math.AP2018★ 19 cited

Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space

Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan +1

In this paper, we are interested in entire, non-trivial, non-negative solutions and/or entire, positive solutions to the simplest models of polyharmonic equations with power-type n…

math.AP2017★ 4 cited

A pointwise inequality for a biharmonic equation with negative exponent and related problems

Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan

Inspired by a recent pointwise differential inequality for positive bounded solutions of the fourth-order Hénon equation in with …

math.AP2016★ 11 cited

Classification of entire solutions of with exact linear growth at infinity in

Quôc-Anh Ngô

In this paper, we study global positive -solutions of the geometrically interesting equation in . We prove that any -s…

math.AP2015

A Liouville-type theorem for the -dimensional parabolic Gross-Pitaevskii and related systems

Quoc Hung Phan, Philippe Souplet

We prove a Liouville-type theorem for semilinear parabolic systems of the form in the whole space…