Citations (24)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (2)
Andrew Carter, Terence Long & Davut Uǧurlu. (2014) Decay of energy for wave equations with strong damping terms and space–time-dependent coefficients. Applicable Analysis 93:7, pages 1515-1532.
Read now
Read now
Kenji Nishihara. (2010) Decay Properties for the Damped Wave Equation with Space Dependent Potential and Absorbed Semilinear Term. Communications in Partial Differential Equations 35:8, pages 1402-1418.
Read now
Read now
Articles from other publishers (22)
Paul A. Ogbiyele & Peter O. Arawomo. (2023) General energy decay for wave equation with space-time potential and time delay in $${\mathbb {R}}^n$$. Afrika Matematika 34:4.
Crossref
Crossref
Giovanni Girardi. 2023. Analysis, Applications, and Computations. Analysis, Applications, and Computations
603
619
.
Forrest W. Doss. (2022) Advection versus diffusion in Richtmyer-Meshkov mixing. Physics Letters A 430, pages 127976.
Crossref
Crossref
Paul A. Ogbiyele & Peter O. Arawomo. (2022)
Energy decay for a viscoelastic wave equation with space-time potential in
. Journal of Mathematical Analysis and Applications 505:2, pages 125529.
Crossref
Crossref
Giovanni Girardi & Jens Wirth. 2021. Anomalies in Partial Differential Equations. Anomalies in Partial Differential Equations
313
330
.
Fumihiko Hirosawa & Wanderley Nunes do Nascimento. (2017) Energy estimates for the Cauchy problem of Klein–Gordon-type equations with non-effective and very fast oscillating time-dependent potential. Annali di Matematica Pura ed Applicata (1923 -) 197:3, pages 817-841.
Crossref
Crossref
Michael Ruzhansky & Mitsuru Sugimoto. (2015) Smoothing estimates for non-dispersive equations. Mathematische Annalen 365:1-2, pages 241-269.
Crossref
Crossref
Ryo IKEHATA, Grozdena TODOROVA & Borislav YORDANOV. (2013) Optimal decay rate of the energy for wave equations with critical potential. Journal of the Mathematical Society of Japan 65:1.
Crossref
Crossref
Jian Zhai, Kenji Nishihara & Jiayun Lin. (2012) Critical exponent for the semilinear wave equation with time-dependent damping. Discrete and Continuous Dynamical Systems 32:12, pages 4307-4320.
Crossref
Crossref
Belkacem Said-Houari. (2012) Asymptotic behaviors of solutions for viscoelastic wave equation with space–time dependent damping term. Journal of Mathematical Analysis and Applications 387:2, pages 1088-1105.
Crossref
Crossref
Kangqun Zhang. (2011) Existence of solution for the n-dimension second order semilinear hyperbolic equations. Journal of Mathematical Analysis and Applications 381:1, pages 427-440.
Crossref
Crossref
Maisa Khader. (2011) Nonlinear dissipative wave equations with space–time dependent potential. Nonlinear Analysis: Theory, Methods & Applications 74:12, pages 3945-3963.
Crossref
Crossref
Jiayun Lin, Kenji Nishihara & Jian Zhai. (2011) Decay property of solutions for damped wave equations with space–time dependent damping term. Journal of Mathematical Analysis and Applications 374:2, pages 602-614.
Crossref
Crossref
Jessica S. Kenigson & Jonathan J. Kenigson. (2011) Energy decay estimates for the dissipative wave equation with space-time dependent potential. Mathematical Methods in the Applied Sciences 34:1, pages 48-62.
Crossref
Crossref
Petronela Radu, Grozdena Todorova & Borislav Yordanov. (2009) Decay estimates for wave equations with variable coefficients. Transactions of the American Mathematical Society 362:5, pages 2279-2299.
Crossref
Crossref
Jiayun Lin, Kenji Nishihara & Jian Zhai. (2010)
-estimates of solutions for damped wave equations with space–time dependent damping term
. Journal of Differential Equations 248:2, pages 403-422.
Crossref
Crossref
Kenji Nishihara & Jian Zhai. (2009) Asymptotic behaviors of solutions for time dependent damped wave equations. Journal of Mathematical Analysis and Applications 360:2, pages 412-421.
Crossref
Crossref
Fumihiko Hirosawa & Jens Wirth. (2009) Generalised energy conservation law for wave equations with variable propagation speed. Journal of Mathematical Analysis and Applications 358:1, pages 56-74.
Crossref
Crossref
Tokio Matsuyama & Michael Ruzhansky. (2009) Time decay for hyperbolic equations with homogeneous symbols. Comptes Rendus Mathematique 347:15-16, pages 915-919.
Crossref
Crossref
Grozdena Todorova & Borislav Yordanov. (2009)
Weighted
-estimates for dissipative wave equations with variable coefficients
. Journal of Differential Equations 246:12, pages 4497-4518.
Crossref
Crossref
Ryo Ikehata & Yu-ki Inoue. (2008) Total energy decay for semilinear wave equations with a critical potential type of damping. Nonlinear Analysis: Theory, Methods & Applications 69:4, pages 1396-1401.
Crossref
Crossref
V. V. Palin & E. V. Radkevich. (2007) On the large-time behavior of solutions to systems of hyperbolic equations with relaxation. Doklady Mathematics 75:1, pages 134-137.
Crossref
Crossref