Second-Order Regularity for Degenerate Parabolic Quasi-Linear Equations in the Heisenberg Group
MathematicsIn the Heisenberg group Hn, we obtain the local second-order HWloc2,2-regularity for the weak solution u to a class of degenerate parabolic quasi-linear equations ∂tu=∑i=12nXiAi(Xu) modeled on the parabolic p-Laplacian equation. Specifically, when 2≤p≤4,
Chengwei Yu +3 more
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On Regularized Systems of Equations for Gas Mixture Dynamics with New Regularizing Velocities and Diffusion Fluxes. [PDF]
Entropy (Basel), 2023 Zlotnik A, Lomonosov T.
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Determination of a diffusion coefficient in a quasilinear parabolic equation
Open Mathematics, 2017 Abstract This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data ...
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Solvability of a free-boundary problem describing the traffic flows
Electronic Journal of Differential Equations, 2015 We study a mathematical model of the vehicle traffic on straight freeways, which describes the traffic flow by means of equations of one-dimensional motion of the isobaric viscous gas.
Anvarbek Meirmanov +2 more
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A new spline technique for the time fractional diffusion-wave equation. [PDF]
MethodsX, 2023 Singh S, Singh S, Aggarwal A.
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The nonlocal stefan problem for quasilinear parabolic equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper, we deal with free boundary problem with nonlocal boundary condition for quasilinear parabolic equation. For the solutions of the problem apriory estimates of Shauder’s type are established. On the base of apriory estimations the existence and uniqueness theorems are proved.
J. O. Takhirov, R. N. Turaev
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Regularity results and asymptotic behavior for a noncoercive parabolic problem. [PDF]
J Evol Equ, 2021 Boccardo L, Orsina L, Porzio MM.
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A note on $W^{1,p}$ estimates for quasilinear parabolic equations
Electronic Journal of Differential Equations, 2002 This work deals with the study of the $W^{1,p}$ regularity for the solutions to parabolic equations in divergence form. An argument by perturbation based in real analysis is used.
Ireneo Peral, Fernando Soria
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Regularity for anisotropic quasi-linear parabolic equations with variable growth
Electronic Journal of Differential Equations, 2019 In this article, we study a class of anisotropic quasi-linear parabolic equations with variable exponents. Following DiBenedetto's intrinsic scaling method, we prove local continuity of solutions under the condition for which only local boundedness ...
Hamid El Bahja
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Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]
Calc Var Partial Differ Equ, 2021 Bögelein V +3 more
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