Nondivergence elliptic and parabolic problems with irregular obstacles
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DOI: 10.1007/s00209-018-2048-7
Abstract: We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irregular obstacles. We also obtain Morrey regularity results for the Hessian… read more here.
Keywords: problems irregular; elliptic parabolic; irregular obstacles; nondivergence elliptic ... See more keywords
Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids
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DOI: 10.1007/s10915-016-0309-3
Abstract: On arbitrary polygonal grids, a family of vertex-centered finite volume schemes are suggested for the numerical solution of the strongly nonlinear parabolic equations arising in radiation hydrodynamics and magnetohydrodynamics. We define the primary unknowns at… read more here.
Keywords: vertex centered; linearity preserving; nonlinear parabolic; parabolic problems ... See more keywords
High-Order Numerical Methods for 2D Parabolic Problems in Single and Composite Domains
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DOI: 10.1007/s10915-017-0637-y
Abstract: In this work, we discuss and compare three methods for the numerical approximation of constant- and variable-coefficient diffusion equations in both single and composite domains with possible discontinuity in the solution/flux at interfaces, considering (i)… read more here.
Keywords: order numerical; composite domains; high order; problems single ... See more keywords
Renormalized solutions to nonlinear parabolic problems with blowing up coefficients and general measure data
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DOI: 10.1007/s11587-019-00436-0
Abstract: An existence result is established for a class of quasilinear parabolic problem which is a diffusion type equations having continuous coefficients blowing up for a finite value of the unknown, a second hand $$\mu \in… read more here.
Keywords: solutions nonlinear; nonlinear parabolic; parabolic problems; renormalized solutions ... See more keywords
Solvability to some strongly degenerate parabolic problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.056
Abstract: Abstract Nonlinear parabolic equations of “divergence form,” u t = ( φ ( u ) ψ ( u x ) ) x , are considered under the assumption that the “material flux,” φ ( u… read more here.
Keywords: solvability strongly; problem; strongly degenerate; value ... See more keywords
Corrigendum to “Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems”
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DOI: 10.1155/2017/2739102
Abstract: In the article titled “Noncoercive Perturbed Densely De ned Operators and Application to Parabolic Problems” [1], there was an error in eorem 8. e operator L : X ⊇ D(L) → X is assumed to… read more here.
Keywords: noncoercive perturbed; eorem; application parabolic; parabolic problems ... See more keywords
Blow-up phenomena for p-Laplacian parabolic problems with Neumann boundary conditions
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DOI: 10.1186/s13661-017-0881-y
Abstract: AbstractIn this paper, we deal with the blow-up and global solutions of the following p-Laplacian parabolic problems with Neumann boundary conditions: {(g(u))t=∇⋅(|∇u|p−2∇u)+k(t)f(u)in Ω×(0,T),∂u∂n=0on ∂Ω×(0,T),u(x,0)=u0(x)≥0in Ω‾,$$\textstyle\begin{cases} (g(u) )_{t} =\nabla\cdot ( {|\nabla u|^{p-2}}\nabla u )+k(t)f(u) & \mbox{in } \Omega\times(0,T), \\… read more here.
Keywords: problems neumann; boundary conditions; neumann boundary; blow phenomena ... See more keywords
A Comparison of Parallel Algorithms for Numerical Solution of Parabolic Problems with Fractional Power Elliptic Operators
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DOI: 10.3390/axioms11030098
Abstract: In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators. The proposed discrete method are targeted for… read more here.
Keywords: problems fractional; elliptic operators; fractional power; parallel algorithms ... See more keywords