Regularity of solutions of initial-boundary value problems for parabolic equations in domains with conical points

DOI10.1016/j.jde.2008.07.011zbMath1170.35048OpenAlexW2005026958MaRDI QIDQ947139

Nguyen Manh Hung, Nguyen Thanh Anh

Publication date: 29 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.07.011

zbMATH Keywords

regularitygeneralized solutionsinitial-boundary value problemparabolic equationnonsmooth domains

Mathematics Subject Classification ID

Related Items (18)

On parabolic equations with mixed Dirichlet-Robin type boundary conditions in a non-rectangular domain ⋮ On the study of the wave equation set on a singular cylindrical domain ⋮ Regularity of the solution of the first initial-boundary value problem for hyperbolic equations in domains with cuspidal points on boundary ⋮ Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base ⋮ Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type ⋮ Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures ⋮ Besov regularity of inhomogeneous parabolic PDEs ⋮ On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points. ⋮ The Dirichlet-Cauchy problem for nonlinear hyperbolic equations in a domain with edges ⋮ \(L_p\)-regularity for the Cauchy-Dirichlet problem for parabolic equations in convex polyhedral domains ⋮ On the solvability of the boundary value problem without initial condition for Schrödinger systems in infinite cylinders ⋮ Asymptotic of solutions for second IBVP for hyperbolic systems in non-smooth domains ⋮ Cauchy–Neumann problem for second-order hyperbolic equations in cylinders with base containing conical points ⋮ On some boundary value problems for the heat equation in a non-regular type of a prism of \(\mathbb{R}^{N+1}\) ⋮ Energy-corrected FEM and explicit time-stepping for parabolic problems ⋮ On the asymptotics of solutions of the first initial boundary value problem for hyperbolic systems in infinite cylinders with base containing conical points ⋮ Cauchy-Neumann problem for second-order general Schrödinger equations in cylinders with nonsmooth bases ⋮ On initial-boundary value problems for hyperbolic equations in domains with conical points

Cites Work

• An initial boundary value problem with noncoercive boundary condition in domains with edges
• The asymptotics of the solutions of linear elliptic variational problems in domains with edges
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