Complex interpolation with Dirichlet boundary conditions on the half line
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201700204
Abstract: We prove results on complex interpolation of vector-valued Sobolev spaces over the half-line with Dirichlet boundary condition. Motivated by applications in evolution equations, the results are presented for Banach space-valued Sobolev spaces with a power… read more here.
Keywords: half line; dirichlet boundary; complex interpolation; line ... See more keywords
A Microscopic Model for a One Parameter Class of Fractional Laplacians with Dirichlet Boundary Conditions
Sign Up to like & getrecommendations! Published in 2018 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01549-9
Abstract: We prove the hydrodynamic limit for the symmetric exclusion process with long jumps given by a mean zero probability transition rate with infinite variance and in contact with infinitely many reservoirs with density $$\alpha $$… read more here.
Keywords: model one; boundary conditions; kappa theta; dirichlet boundary ... See more keywords
Energy corrected FEM for optimal Dirichlet boundary control problems
Sign Up to like & getrecommendations! Published in 2018 at "Numerische Mathematik"
DOI: 10.1007/s00211-018-0952-8
Abstract: In the presence of re-entrant corners, the solution of PDE-constrained optimization problems, in general, has singular components, even when the given data are smooth. Consequently, the use of standard finite element discretization gives rise to… read more here.
Keywords: energy; control; optimal dirichlet; dirichlet boundary ... See more keywords
A Dirichlet Boundary Value Problem for Fractional Monogenic Functions in the Riemann–Liouville Sense
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DOI: 10.1007/s11785-020-01008-z
Abstract: This paper solves the Dirichlet boundary value problem of distinguishing domains for Clifford fractional–monogenic functions in $$\mathbb {R}^{n}$$ for fixed n, in the Riemann–Liouville sense. To do so, we use a matrix representation of the… read more here.
Keywords: value problem; boundary value; dirichlet boundary; fractional monogenic ... See more keywords
Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-018-0585-7
Abstract: The time-fractional heat conduction equation with the Caputo derivative and with heat absorption term proportional to temperature is considered in a sphere in the case of central symmetry. The fundamental solution to the Dirichlet boundary… read more here.
Keywords: heat absorption; heat conduction; dirichlet boundary; fractional heat ... See more keywords
On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.113007
Abstract: Abstract We consider the Oseen problem with nonhomogeneous Dirichlet boundary conditions on a part of the boundary and a Neumann type boundary condition on the remaining part. Suitable least squares terms that arise from the… read more here.
Keywords: finite element; oseen problem; boundary conditions; dirichlet boundary ... See more keywords
Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126089
Abstract: The weak well-posedness results of the strongly damped linear wave equation and of the non linear Westervelt equation with homogeneous Dirichlet boundary conditions are proved on arbitrary three dimensional domains or any two dimensional domains… read more here.
Keywords: homogeneous dirichlet; valued problems; westervelt equation; equation ... See more keywords
Existence of local solutions for fractional difference equations with Dirichlet boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1505882
Abstract: ABSTRACT For a real number and a natural number, conditions are given for the existence of solutions of the νth-order Atıcı–Eloe fractional difference equation, and satisfying the Dirichlet boundary conditions . read more here.
Keywords: difference equations; difference; existence local; boundary conditions ... See more keywords
The strong vanishing viscosity limit with Dirichlet boundary conditions
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DOI: 10.1088/1361-6544/acc50a
Abstract: We adapt methodology of Tosio Kato to establish necessary and sufficient conditions for the solutions to the Navier–Stokes equations with Dirichlet boundary conditions to converge in a strong sense to a solution to the Euler… read more here.
Keywords: vanishing viscosity; strong vanishing; dirichlet boundary; boundary conditions ... See more keywords
SPATIAL PATTERN FORMATIONS IN DIFFUSIVE PREDATOR-PREY SYSTEMS WITH NON-HOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/20190097
Abstract: A reaction-diffusion predator-prey system with non-homogeneous Dirichlet boundary conditions describes the persistence of predator and prey species on the boundary. Compared with homogeneous Neumann boundary conditions, the former conditions may prompt or prevent the spatial… read more here.
Keywords: predator prey; boundary conditions; homogeneous dirichlet; non homogeneous ... See more keywords