Results 91 to 100 of about 283,896 (317)
, 2009 A simple sufficient condition on curved end of a straight cylinder is found that provides a localization of the principal eigenfunction of the mixed boundary value for the Laplace operator with the Dirichlet conditions on the lateral side.
Cardone, G., Durante, T., Nazarov, S. A.
core +1 more source
Boundary Estimates for a Degenerate Parabolic Equation with Partial Dirichlet Boundary Conditions [PDF]
The Journal of Geometric Analysis, 2017 We study the boundary regularity properties and derive a priori pointwise supremum estimates of weak solutions and their derivatives in terms of suitable weighted $L^2$-norms for a class of degenerate parabolic equations that satisfy homogeneous Dirichlet boundary conditions on certain portions of the boundary.
Epstein, Charles L., Pop, Camelia A.
openaire +3 more sources
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, EarlyView.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
The weak solutions of a nonlinear parabolic equation from two-phase problem
Journal of Inequalities and Applications, 2021 A nonlinear parabolic equation from a two-phase problem is considered in this paper. The existence of weak solutions is proved by the standard parabolically regularized method.
Zhisheng Huang
doaj +1 more source
Klein-Gordon-Maxwell System in a bounded domain
, 2008 This paper is concerned with the Klein-Gordon-Maxwell system in a bounded spatial domain. We discuss the existence of standing waves $\psi=u(x)e^{-i\omega t}$ in equilibrium with a purely electrostatic field $\mathbf{E}=-\nabla\phi(x)$.
d'Avenia, Pietro +2 more
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Gradient estimates for weighted harmonic function with Dirichlet boundary condition [PDF]
, 2021 Nguyen Thac Dung, Jia-Yong Wu
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Biharmonic Equations Under Dirichlet Boundary Conditions with Supercritical Growth
Advanced Nonlinear Studies, 2016 Abstract We prove nonexistence and uniqueness results of solutions for biharmonic equations under the Dirichlet boundary conditions on a smooth bounded domain. We carry on the work in [10] where the Navier boundary conditions were considered, we define the h-starlikeness of Ω with respect to the Dirichlet boundary conditions and a ...
Ben Omrane, Hanen +2 more
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Spatial metrics in fire ecology: seeking consistency amidst complexity
Biological Reviews, EarlyView.ABSTRACT Technological advances, including remote sensing, have led to a proliferation of metrics used in ecological studies to examine spatial patterns of fire regimes and their ecological effects. Researchers can use many different metrics to analyse spatial variation in both fire events and resulting fire regimes, including fire size, shape ...
Alexander R. Carey +5 more
wiley +1 more source
Another proof of the regularity of harmonic maps from a Riemannian manifold to the unit sphere
Electronic Journal of Differential Equations, 2014 We shall consider harmonic maps from $n$-dimensional compact connected Riemannian manifold with boundary to the unit sphere under the Dirichlet boundary condition. We claim that if the Dirichlet data is smooth and so-called "small", all minimizers of
Junichi Aramaki
doaj
Modeling of Chloride Distribution in Cement-Based Materials with Neumann Boundary Condition
Advances in Materials Science and Engineering, 2018 The nonstable transport of chloride in cement-based materials, including diffusion, convection, and chloride binding, is described as a general form of Fick’s law.
Qi Meng +4 more
doaj +1 more source