On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time [PDF]
arXiv, 2004 We find minimal regularity conditions on the coefficients of a parabolic operator, ensuring that no nontrivial solution tends to zero faster than any exponential.
arxiv
Construction of type I blowup solutions for a higher order semilinear parabolic equation
Advances in Nonlinear Analysis, 2019 We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine +2 more
doaj +1 more source
On Davies' conjecture and strong ratio limit properties for the heat kernel [PDF]
arXiv, 2005 We study strong ratio limit properties and the exact long time asymptotics of the heat kernel of a general second-order parabolic operator which is defined on a noncompact Riemannian manifold.
arxiv
Spectral Theory and Nonlinear PDE: a Survey [PDF]
arXiv, 2005 This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.
arxiv
Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]
Commun Nonlinear Sci Numer Simul, 2023 Wang J, Lu H.
europepmc +1 more source
Asymptotic study of a nonlinear elliptic boundary Steklov problem on a nanostructure
Demonstratio MathematicaThe present study is related to the existence and the asymptotic behavior of the solution of a nonlinear elliptic Steklov problem imposed on a nanostructure depending on the thickness parameter ε\varepsilon (nano-scale), distributed on the boundary of ...
Maadan Hicham, Messaho Jamal
doaj +1 more source
On elliptic boundary value problems of order 2m in cylindrical domain of large size [PDF]
arXiv, 2006 This paper is concerned with the convergence of the solution of general elliptic boundary value problems in cylindrical domain, when some directions of the domain go to infinity.
arxiv
Demonstratio MathematicaThis study deals with the limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays and multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of pullback tempered random attractors for
Li Xintao, Pan Shiyao
doaj +1 more source
Existence and stability of impulsive coupled system of fractional integrodifferential equations
Demonstratio Mathematica, 2019 In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar +3 more
doaj +1 more source
arXiv, 2006 We give a criterion for H-convergence of conductivity matrices in terms of ordinary weak convergence of the factors in certain quotient representations of the matrices.
arxiv