Results 61 to 70 of about 1,145 (77)

Continuous dependence on initial data for damped fourth-order wave equation with strain term

Advances in Nonlinear Analysis
This article investigates the fourth-order wave equation with general nonlinear strain term as well as both strong and weak damping terms. By deriving and utilizing energy decay estimate independent of the initial data in the stable manifold, we derive ...
Han Jiangbo, Wu Weipeng
doaj   +1 more source

Small data global regularity for half-wave maps in n = 4 dimensions. [PDF]

Commun Partial Differ Equ, 2021
Kiesenhofer A, Krieger J.
europepmc   +1 more source

Analysis for Full-Field Photoacoustic Tomography with Variable Sound Speed. [PDF]

SIAM J Imaging Sci, 2022
Nguyen L, Haltmeier M, Kowar R, Do N.
europepmc   +1 more source

Periodic solutions for a coupled system of wave equations with x-dependent coefficients

Advanced Nonlinear Studies
This paper is concerned with the periodic solutions for a coupled system of wave equations with x-dependent coefficients. Such a model arises naturally when two waves propagate simultaneously in the nonisotrpic media.
Deng Jiayu, Ji Shuguan
doaj   +1 more source

Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]

Lett Math Phys, 2022
Fajman D, Urban L.
europepmc   +1 more source

Klein-Gordon potential in characteristic coordinates

Demonstratio Mathematica
By the Klein-Gordon potential, we call a convolution-type integral with a kernel, which is the fundamental solution of the Klein-Gordon equation and also a solution of the Cauchy problem to the same equation.
Kal’menov Tynysbek, Suragan Durvudkhan
doaj   +1 more source

Mathematical model of the impact of chemotherapy and antiangiogenic therapy on drug resistance in glioma growth

Computational and Mathematical Biophysics
This study presents a mathematical model of glioma growth dynamics with drug resistance, capturing interactions among five cell populations – glial cells, sensitive and resistant glioma cells, endothelial cells, and neurons – alongside chemotherapy and ...
Hanum Latifah, Susyanto Nanang, Ertiningsih Dwi   +2 more
doaj   +1 more source

Transference of local to global $L^2$ maximal estimates for dispersive partial differential equations

, 2017
In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local $L^2$ estimates for certain oscillatory integrals with rough phase functions, to the corresponding ...
Castro, Alejandro J., Rodríguez-López, Salvador, Staubach, Wolfgang   +2 more
core  

Uniform energy decay for wave equations with unbounded damping coefficients

, 2017
We consider the Cauchy problem for wave equations with unbounded damping coefficients in the whole space. For a general class of unbounded damping coefficients, we derive uniform total energy decay estimates together with a unique existence result of a ...
Ikehata, Ryo, Takeda, Hiroshi
core  

Boundary stabilization and control of wave equations by means of a general multiplier method

, 2009
We describe a general multiplier method to obtain boundary stabilization of the wave equation by means of a (linear or quasi-linear) Neumann feedback. This also enables us to get Dirichlet boundary control of the wave equation.
Cornilleau, Pierre, Loheac, Jean-Pierre
core   +1 more source