Most of my preprints can be found on arXiv. Published papers can be found on MathSciNet.

Classical Wave Equations

  1. (Joint with A. Palmieri) "On the threshold nature of the Dini continuity for a Glassey derivative-type nonlinearity in a critical semilinear wave equation". arXiv:2306.11478
  2. (Joint with R. Ikehata) "Large time behavior for the classical wave equation with different regular data and its applications". Asymptotic Analysis (2026), accepted.
  3. (Joint with M. Reissig) "On the critical regularity of nonlinearities for semilinear classical wave equations". Mathematische Annalen 390 (2024), 4087-4122. [Journal]
  4. "Blow-up and lifespan estimates for Nakao's type problem with nonlinearities of derivative type". Mathematical Methods in the Applied Sciences 45 (2022), no. 10, 5988-6004. [Journal]
  5. (Joint with S. Lucente, and A. Palmieri) "A blow-up result for a semilinear generalized Tricomi equation with combined nonlinearity". Nonlinear Analysis: Real World Applications 61 (2021), 103354. [Journal]
  6. (Joint with M. Reissig) "Blow-up of solutions to Nakao's problem via an iteration argument". Journal of Differential Equations 275 (2021), 733-756. [Journal]
  7. "Interplay effects on blow-up of weakly coupled systems for semilinear wave equations with general nonlinear memory terms". Nonlinear Analysis 202 (2021), 112160. [Journal]
  8. (Joint with A. Palmieri) "Blow-up result for a semilinear wave equation with a nonlinear memory term". Anomalies in Partial Differential Equations. Springer INdAM Series, vol 43. Springer, Cham (2021).

Damped Wave Equations

  1. (Joint with T.A. Dao) "Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case". Mathematische Annalen 385 (2023), 101-130. [Journal]
  2. (Joint with A.Z. Fino) "A competition on blow-up of solutions to semilinear wave equations with scale-invariant damping and nonlinear memory term". Discrete and Continuous Dynamical Systems - Series S 16 (2023), no. 6, 1264-1285. [Journal]
  3. (Joint with Y. Liu) "Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I". Journal of Mathematical Physics 64 (2023), no. 2, 021504. [Journal]
  4. (Joint with M. Reissig) "On the critical exponent for semilinear damped wave equations with data from Sobolev spaces of negative order". Journal of Evolution Equations 23 (2023), 13. [Journal]
  5. (Joint with R. Ikehata) "Decay properties and asymptotic behaviors for wave equation with general strong damping". Journal of Mathematical Analysis and Applications 519 (2023), no. 1, 126765. [Journal]
  6. (Joint with M. D'Abbicco, and G. Girardi) "Global small data solutions for semilinear waves with two dissipative terms". Annali di Matematica Pura ed Applicata 201 (2022), 529-560. [Journal]
  7. (Joint with A.Z. Fino) "Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain". Mathematical Methods in the Applied Sciences 44 (2021), 6787-6807. [Journal]
  8. (Joint with A.Z. Fino) "A global existence result for two-dimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain". Communications on Pure & Applied Analysis 19 (2020), no. 12, 5387-5411. [Journal]
  9. (Joint with A. Palmieri) "Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part". Zeitschrift für Angewandte Mathematik und Physik 70 (2019), no. 2, 67. [Journal]

Sigma-Evolution Equations

  1. (Joint with T.A. Dao) "Sharp behaviors of semilinear damped wave equation driven by mixed local-nonlocal operator". arXiv:2509.24940
  2. (Joint with M. Reissig) "Global in-time rough large data solution to complex-valued semilinear damped evolution equations". arXiv:2507.08272
  3. (Joint with G. Girardi) "A review on critical nonlinearities for some evolution equations". Analysis and PDE in Developing Countries. Trends in Mathematics (2026).
  4. (Joint with G. Girardi) "Sharp lifespan estimates for semilinear fractional evolution equations with critical nonlinearity". Journal of Differential Equations 443 (2025), 113568. [Journal]
  5. (Joint with T.A. Dao) "On the Cauchy problem for semilinear regularity-loss-type \sigma-evolution models with memory term". Nonlinear Analysis: Real World Applications 59 (2021), 103265. [Journal]

Nonlinear Acoustics Equations

  1. (Joint with Y. Liu, and M. Luo) "Large time asymptotic behavior for the weakly damped Jordan-Moore-Gibson-Thompson equation". arXiv:2603.26159
  2. "Global in-time existence of solutions for the complex-valued Jordan-Moore-Gibson-Thompson equations of Westervelt-type under different conditions on initial data". arXiv:2507.08273
  3. (Joint with Y. Liu, A. Palmieri, and X. Qin) "The influence of viscous dissipations on the nonlinear acoustic wave equation with second sound". arXiv:2211.00944
  4. (Joint with Y. Liu, M. Ma, and X. Qin) "Asymptotic behavior of solutions for the thermoviscous acoustic systems". Communications in Mathematical Sciences (2026), accepted.
  5. (Joint with M. Ma, and X. Qin) "L^p-L^q estimates for the dissipative and conservative Moore-Gibson-Thompson equations". Journal of Mathematical Physics 66 (2025), no. 7, 071515. [Journal]
  6. (Joint with J. Gong) "Some asymptotic profiles for the viscous Moore-Gibson-Thompson equation in the Lq framework". Journal of Mathematical Analysis and Applications 540 (2024), no. 2, 128641. [Journal]
  7. "On the Cauchy problem for acoustic waves in hereditary fluids: decay properties and inviscid limits". Mathematical Methods in the Applied Sciences, 47 (2024), 13846-13874. [Journal]
  8. (Joint with H. Takeda) "Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case". Nonlinear Analysis 234 (2023), 113316. [Journal]
  9. (Joint with R. Ikehata, and A. Palmieri) "Asymptotic behaviors for Blackstock's model of thermoviscous flow". Indiana University Mathematics Journal 72 (2023), no. 2, 489-552. [Journal]
  10. (Joint with H. Takeda) "Large-time asymptotic behaviors for linear Blackstock's model of thermoviscous flow". Applied Mathematics and Optimization 88 (2023), no. 1, 21. [Journal]
  11. (Joint with R. Ikehata) "The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case". Journal of Differential Equations 292 (2021), 176-219. [Journal]
  12. (Joint with A. Palmieri) "A blow -- up result for the semilinear Moore -- Gibson -- Thompson equation with nonlinearity of derivative type in the conservative case". Evolution Equations & Control Theory 10 (2021), no. 4, 673-687. [Journal]
  13. (Joint with A. Palmieri) "Nonexistence of global solutions for the semilinear Moore -- Gibson -- Thompson equation in the conservative case". Discrete and Continuous Dynamical Systems 40 (2020), no. 9, 5513-5540. [Journal]

(Thermo-)Elastic Systems

  1. (Joint with X. Li, and Y. Liu) "Large time asymptotic behavior for the elastic plate system with type II heat conduction. Part II: the inviscid case".
  2. (Joint with X. Li, and Y. Liu) "Large time asymptotic behavior for the elastic plate system with type II heat conduction. Part I: the viscous case". Acta Mathematica Sinica. Chinese Series (2026), accepted.
  3. (Joint with R. Ikehata) "Sharp large time asymptotic behavior for the multi-dimensional thermoelastic systems of type II and type III". Communications in Contemporary Mathematics (2026), accepted. [Journal]
  4. "Large time asymptotic behavior for the dissipative Timoshenko system and its application". Analysis and Applications 24 (2026), no. 2, 385-418. [Journal]
  5. (Joint with H. Aslan) "On the Cauchy problem for semilinear thermoelastic plate systems in the L^q framework". Evolution Equations & Control Theory 14 (2025), no. 6, 1565-1591. [Journal]
  6. (Joint with Y. Liu) "Large time behavior for the hyperbolic-parabolic coupled system with the regularity-loss structure". Journal of Evolution Equations 25 (2025), 61. [Journal]
  7. (Joint with H. Takeda) "Large-time asymptotic behaviors for the classical thermoelastic system". Journal of Differential Equations 377 (2023), 809-848. [Journal]
  8. (Joint with R. Ikehata) "Optimal large-time estimates and singular limits for thermoelastic plate equations with the Fourier law". Mathematical Methods in the Applied Sciences 46 (2023), no. 14, 14841-14866. [Journal]
  9. (Joint with Y. Liu) "A note on asymptotic profiles for the thermoelastic plate system". Proceedings of the American Mathematical Society 151 (2023), no. 10, 4317-4329. [Journal]
  10. "Cauchy problem for thermoelastic plate equations with different damping mechanisms". Communications in Mathematical Sciences 18 (2020), no. 2, 429-457. [Journal]
  11. "Dissipative structure and diffusion phenomena for doubly dissipative elastic waves in two space dimensions". Journal of Mathematical Analysis and Applications 486 (2020), no. 2, 123922. [Journal]
  12. "Decay properties and asymptotic profiles for elastic waves with Kelvin-Voigt damping in 2D". Asymptotic Analysis 117 (2020), no. 1-2, 113-140. [Journal]
  13. (Joint with Y. Liu) "Asymptotic profiles of solutions for regularity-loss-type generalized thermoelastic plate equations and their applications". Zeitschrift für Angewandte Mathematik und Physik 71 (2020), 55. [Journal]
  14. (Joint with M. Reissig) "Weakly coupled systems of semilinear elastic waves with different damping mechanisms in 3D". Mathematical Methods in the Applied Sciences 42 (2019), no. 2, 667-709. [Journal]

Parabolic Equations

  1. (Joint with H. Di, and B. Huang) "On potential wells and application to a pseudo-parabolic equation with Newtonian potential".
  2. (Joint with X. Li, and Y. Liu) "A note on global in-time behavior for the semilinear nonlocal heat exchanger system". arXiv:2505.12756

Other Evolution Equations

  1. (Joint with H. Takeda) "Large time behavior for the nonlinear dissipative Boussinesq equation". Mathematische Nachrichten 298 (2025), 2770-2793. [Journal]
  2. "Critical exponent and sharp lifespan estimates for semilinear third-order evolution equations". Mathematical Methods in the Applied Sciences, 47 (2024), no. 14, 11742-11770. [Journal]
  3. (Joint with R. Ikehata) "Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations". Differential and Integral Equations 37 (2024), no. 9-10, 699-716. [Journal]
  4. (Joint with T.A. Dao) "Asymptotic behaviors for the nonlinear viscous Boussinesq equation in the L^q framework". Journal of Differential Equations 320 (2022), 558-597. [Journal]

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