Boundary behavior of solutions to the parabolic p-Laplace equation II
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DOI: 10.1016/j.jfa.2020.108515
Abstract: Abstract This paper is the second installment in a series of papers concerning the boundary behavior of solutions to the p-parabolic equations. In this paper we are interested in the short time behavior of the… read more here.
Keywords: laplace equation; parabolic laplace; boundary behavior; behavior solutions ... See more keywords
Contour integral solutions of the parabolic wave equation
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DOI: 10.1016/j.wavemoti.2018.09.015
Abstract: We present a simple systematic construction and analysis of solutions of the two-dimensional parabolic wave equation that exhibit far-field localisation near a given algebraic plane curve. Our solutions are complex contour integral superpositions of elementary… read more here.
Keywords: solutions parabolic; parabolic wave; contour integral; wave equation ... See more keywords
Existence of solutions for a parabolic equation in bounded domain
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DOI: 10.1080/00036811.2016.1265107
Abstract: Abstract In this paper, we study the existence of nonnegative solutions for the parabolic problem where D is a smooth domain of , (), the function is such that and is the normalized positive eigenfunction… read more here.
Keywords: equation bounded; parabolic equation; existence; solutions parabolic ... See more keywords
A sufficient condition of sensitivity functions for boundedness of solutions to a parabolic-parabolic chemotaxis system
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DOI: 10.1088/1361-6544/aaa2df
Abstract: This paper deals with time-global solutions to the parabolic system under the homogeneous Neumann boundary conditions in a bounded and convex domain () with smooth boundary . Here τ is a positive parameter, χ is… read more here.
Keywords: sufficient condition; solutions parabolic; condition sensitivity; system ... See more keywords
Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients
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DOI: 10.1155/2017/2947275
Abstract: A complete family of solutions for the one-dimensional reaction-diffusion equation, , with a coefficient depending on is constructed. The solutions represent the images of the heat polynomials under the action of a transmutation operator. Their… read more here.
Keywords: analytic approximation; partial differential; solutions parabolic; differential equations ... See more keywords
Verification of Convergence Rates of Numerical Solutions for Parabolic Equations
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DOI: 10.1155/2019/8152136
Abstract: In this paper, we propose a verification method for the convergence rates of the numerical solutions for parabolic equations. Specifically, we consider the numerical convergence rates of the heat equation, the Allen–Cahn equation, and the… read more here.
Keywords: order; numerical solutions; rates numerical; solutions parabolic ... See more keywords
Study of weak solutions for parabolic variational inequalities with nonstandard growth conditions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1623-0
Abstract: In this paper, we study the degenerate parabolic variational inequality problem in a bounded domain. First, the weak solutions of the variational inequality are defined. Second, the existence and uniqueness of the solutions in the… read more here.
Keywords: study weak; variational inequalities; weak solutions; solutions parabolic ... See more keywords
Remarks on Radial Solutions of a Parabolic Gelfand-Type Equation
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DOI: 10.3390/axioms11090429
Abstract: We consider an equation with exponential nonlinearity under the Dirichlet boundary condition. For a one- or two-dimensional domain, a global solution has been obtained. In this paper, to extend the result to a higher dimensional… read more here.
Keywords: remarks radial; equation; radial solutions; solutions parabolic ... See more keywords
Analysis of Solutions to a Parabolic System with Absorption
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DOI: 10.3390/sym14061274
Abstract: In this paper, we investigate the blow-up rate and global existence of solutions to a parabolic system with absorption under the homogeneous Dirichlet boundary. By using the comparison principle and super-sub solution method, we obtain… read more here.
Keywords: solutions parabolic; analysis solutions; parabolic system; system absorption ... See more keywords