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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

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math.AP2026

Critical thresholds for the damped wave system with mixed product-type nonlinearities

Trung Loc Tang, Tuan Anh Dao, The Anh Cung

In this paper, we study the Cauchy problem for a coupled system of damped wave equations with mixed product-type nonlinearities. We have succeeded in determining the critical curve…

math.AP2026

Global existence of solutions for nonlinear damped wave equations in an exterior domain with nonlinearities of derivative type

Tuan Anh Dao, Dinh Van Duong, Masahiro Ikeda

In this paper, we are interested in considering the semi-linear damped wave equation with the power nonlinearity of derivative type in D exterior domains to indicate the global…

math.AP2026

On a system of semilinear damped -evolution equations with different damping types in the critical case

Trung Loc Tang, Tuan Anh Dao, The Anh Cung

In this paper, we study the non-symmetric system of semilinear damped -evolution equations with different damping types, where two power exponents of nonlinearities belong to th…

math.AP2026

Blow-up and sharp lifespan estimates to the weakly coupled system of structurally damped wave equations with critical nonlinearities

Trung Loc Tang, Tuan Anh Dao, The Anh Cung

In this paper, we would like to study the weakly coupled system of semilinear structurally damped wave equations with moduli of continuity in nonlinear terms whose powers belong to…

math.AP2026

Non-existence results for a system of wave inequalities on locally finite graphs

Anh Tuan Duong, Tuan Anh Dao

Let be a locally finite, connected and weighted graph. We study non-existence results of non-trivial, non-negative solutions of the system $$ \begin{cases} u_{t t}-Δu \geq h_1|…