Results 31 to 40 of about 541 (46)

On the geometry of the domain of the solution of nonlinear Cauchy problem

, 2016
We consider the Cauchy problem for a second order quasi-linear partial differential equation with an admissible parabolic degeneration such that the given functions described the initial conditions are defined on a closed interval.
A.V. Bitsadze, A.V. Bitsadze, F. Tricomi, F. Tricomi, G. Baghaturia, I. Yu. Popov, J. Gvazava, J. Hadamard, J.K. Gvazava, J.K. Gvazava, J.K. Gvazava, L. Wolfersdorf, L.I. Sedov, R. Bitsadze, R.G. Bitsadze   +14 more
core   +1 more source

A Remark on Unconditional Uniqueness in the Chern-Simons-Higgs Model [PDF]

, 2013
The solution of the Chern-Simons-Higgs model in Lorenz gauge with data for the potential in $H^{s-1/2}$ and for the Higgs field in $H^s \times H^{s-1}$ is shown to be unique in the natural space $C([0,T];H^{s-1/2} \times H^s \times H^{s-1})$ for $s \ge 1$
Daniel, Oliveira Da Silva, Sigmund Selberg   +2 more
core  

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Existence of global solutions to a quasilinear wave equation with general nonlinear damping

Electronic Journal of Differential Equations, 2002
In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$.
Mohammed Aassila, Abbes Benaissa
doaj  

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

Nonlinear wave equations

, 2003
The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions, useful in the ...
Tataru, Daniel
core   +1 more source

Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the non-local conditions

Advances in Difference Equations, 2011
A second-order abstract problem of neutral type with derivatives of non-integer order in the nonlinearity as well as in the nonlocal conditions is investigated. This model covers many of the existing models in the literature. It extends the integer order
Tatar Nasser-eddine
doaj  

Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping

Boundary Value Problems, 2011
In this paper, we consider the system of nonlinear viscoelastic equations u t t - Δ u + ∫ 0 t g 1 ( t - τ ) Δ u ( τ ) d τ - Δ u t = f 1 ( u , v ) , ( x , t )
Liang Fei, Gao Hongjun
doaj  

Low regularity well-posedness for the one-dimensional Dirac - Klein - Gordon system

, 2006
Local well-posedness for the Dirac - Klein - Gordon equations is proven in one space dimension, where the Dirac part belongs to H^{-{1/4}+\epsilon} and the Klein - Gordon part to H^{{1/4}-\epsilon} for 0 < \epsilon < 1/4, and global well-posedness, if ...
Pecher, Hartmut
core   +3 more sources

On Global Attraction to Stationary States for Wave Equations with Concentrated Nonlinearities. [PDF]

J Dyn Differ Equ, 2018
Kopylova E.
europepmc   +1 more source