activity
20182026
most citedCritical exponent for semi-linear structurally damped wave equation of derivative type

16 citations · 79 across the 44 of their papers we have counts for

collaborators
Showing 2020Show all

7 papers · 1 filter

math.OC2020

Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets

Nguyen Hai Son, Tuan Anh Dao

We would like to study the solution stability of a parametric control problem governed by semilinear elliptic equations with a mixed state-control constraint, where the cost functi…

math.AP2020★ 12 cited

Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case

Wenhui Chen, Tuan Anh Dao

The open question, which seems to be also the final part, in terms of studying the Cauchy problem for the weakly coupled system of damped wave equations or reaction-diffusion equat…

math.AP2020

The interplay of critical regularity of nonlinearities in a weakly coupled system of semi-linear damped wave equations

Tuan Anh Dao, Michael Reissig

We would like to study a weakly coupled system of semi-linear classical damped wave equations with moduli of continuity in nonlinearities whose powers belong to the critical curve…

math.AP2020★ 16 cited

Critical exponent for semi-linear structurally damped wave equation of derivative type

Tuan Anh Dao, Ahmad Z. Fino

Main purpose of this paper is to study the following semi-linear structurally damped wave equation with nonlinearity of derivative type: $$u_{tt}- Δu+ μ(-Δ)^{σ/2} u_t= |u_t|^p,\qua…

math.OC2020★ 11 cited

A Monotonic Optimization Approach for Solving Strictly Quasiconvex Multiobjective Programming Problems

Tran Ngoc Thang, Vijender Kumar Solanki, Tuan Anh Dao +2

In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programm…

math.AP2020★ 13 cited

On the Cauchy problem for semilinear regularity-loss-type -evolution models with memory term

Wenhui Chen, Tuan Anh Dao

In this paper, we consider the Cauchy problem for semilinear -evolution models with an exponential decay memory term. Concerning the corresponding linear Cauchy problem, we deri…

math.AP2020★ 2 cited

Blow up results for semi-linear structural damped wave model with nonlinear memory

Tuan Anh Dao, Ahmad Z. Fino

This article is to study the nonexistence of global solutions to semi-linear structurally damped wave equation with nonlinear memory in for any space dimensions and…