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Existence and regularity results of a backward problem for fractional diffusion equations

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0 Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.5781

Abstract: In this paper, we study a backward problem for an inhomogeneous fractional diffusion equation in a bounded domain. By applying the properties of Mittag‐Leffler functions and the method of eigenvalue expansion, we establish some results… read more here.

Keywords: fractional diffusion; problem; existence regularity; backward problem ... See more keywords

Existence and Regularity of Periodic Solutions to Certain First-Order Partial Differential Equations

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0 Published in 2017 at "Journal of Fourier Analysis and Applications"

DOI: 10.1007/s00041-016-9463-0

Abstract: We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global hypoellipticity, in other words, the existence and regularity of… read more here.

Keywords: periodic solutions; certain first; regularity periodic; solutions certain ... See more keywords

Existence and Regularity of q-Mild Solutions to Fractional Evolution Equations with Noncompact Semigroups

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0 Published in 2018 at "Differential Equations and Dynamical Systems"

DOI: 10.1007/s12591-016-0337-3

Abstract: We discuss the existence and regularity of solutions to some fractional evolution equations in the q-norm. The linear part generates a noncompact semigroup, and the nonlinear part satisfies some conditions with respect to the fractional… read more here.

Keywords: evolution equations; existence regularity; fractional evolution; solutions fractional ... See more keywords

Existence and regularity of the solutions to degenerate elliptic equations in Carnot-Carathéodory spaces

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0 Published in 2020 at "Banach Journal of Mathematical Analysis"

DOI: 10.1007/s43037-020-00069-8

Abstract: We deal with existence and regularity for weak solutions to Dirichlet problems of the type $$\begin{aligned} \left\{ \begin{array}{ll} - \mathrm{div} (A(x)Xu) +b(x)Xu + c(x)u=f\quad \hbox {in} \; \varOmega \\ \\ u=0 \quad \quad \hbox {on}… read more here.

Keywords: solutions degenerate; degenerate elliptic; regularity solutions; existence regularity ... See more keywords

Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions

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0 Published in 2019 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2019.1604547

Abstract: Abstract The aim of this work is to prove some results about the existence and regularity of solutions for some partial integrodifferential equations with nonlocal conditions. We suppose that the linear part has a resolvent… read more here.

Keywords: integrodifferential equations; nonlocal conditions; existence regularity; partial integrodifferential ... See more keywords

Existence and regularity results for parabolic equations with degenerate coercivity

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1 Published in 2018 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2017.1332596

Abstract: Abstract The goal of this paper is to address existence and regularity results for some nonlinear parabolic equations with degenerate coercivity, of the following form where is a bounded domain in with the function f… read more here.

Keywords: regularity results; parabolic equations; degenerate coercivity; equations degenerate ... See more keywords

Existence and regularity of weak solutions for a thermoelectric model

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1 Published in 2019 at "Nonlinearity"

DOI: 10.1088/1361-6544/ab1453

Abstract: This paper concerns a time-independent thermoelectric model with two different boundary conditions. The model is a nonlinear coupled system of the Maxwell equations and an elliptic equation. By analyzing carefully the nonlinear structure of the… read more here.

Keywords: weak solutions; existence regularity; thermoelectric model;

Existence, regularity and upper semicontinuity of pullback attractors for the evolution process associated to a neural field model

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0 Published in 2017 at "Electronic Journal of Qualitative Theory of Differential Equations"

DOI: 10.14232/ejqtde.2017.1.41

Abstract: In this work we study the pullback dynamics of a class of nonlocal nonautonomous evolution equations for neural fields in a bounded smooth domain Ω in RN ∂tu(t, x) = −u(t, x) + ∫ RN… read more here.

Keywords: regularity upper; attractors evolution; upper semicontinuity; pullback attractors ... See more keywords