Results 101 to 110 of about 307,407 (286)
Hölder gradient estimates for a class of singular or degenerate parabolic equations
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
doaj +1 more source
UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM
Forum of Mathematics, Sigma, 2015 We prove global well-posedness of the time-dependent degenerate thermistor problem by establishing a uniform-in-time bounded mean ocsillation (BMO) estimate of inhomogeneous parabolic equations.
BUYANG LI, CHAOXIA YANG
doaj +1 more source
Boundary-value problems with non-local condition for degenerate parabolic equations [PDF]
Contemporary Analysis and Applied Mathematics Vol.1, No.1, 42-48,
2013, 2013 In this work we deal with degenerate parabolic equations with three lines of degeneration. Using "a-b-c" method we prove the uniqueness theorems defining conditions to parameters. We show nontrivial solutions for considered problems, when uniqueness conditions to parameters, participating in the equations are not fulfilled.
arxiv
Higher regularity and finite time blow-up to nonlocal pseudo-parabolic equation with conical degeneration [PDF]
arXiv, 2020 This paper deals with the initial-boundary value problem to a nonlocal semilinear pseudo-parabolic equation with conical degeneration, which has been studied in [Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration, J. Differential Equations, 2020, 269(5): 4566--4597].
arxiv
Advanced Theory and Simulations, EarlyView.This study has provided significant insights into the elastic, anisotropic mechanical, electronic and optical properties of the double perovskite Na2ZrTeO6. The material exhibits high mechanical durability, a wide band gap, and pronounced mechanical anisotropy, suggesting that it is demonstrably stable at extreme temperatures, as indicated by its high ...
E. Deligoz +4 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 We study a class of second-order degenerate parabolic equations in divergent form. We prove two analogues of the Harnack inequality, one for non-negative weak solutions, an another for non-negative solutions.
Sarvan T. Huseynov
doaj
The Cauchy Problem for Degenerate Parabolic Equations with Discontinuous Drift [PDF]
, 1973 Edward D. Conway
openalex +1 more source
State of the Art of Low‐Frequency Acoustic Modulation: Intensity Enhancement and Directional Control
Advanced Science, EarlyView.High intensity low‐frequency sound sources hold significant value in many fields. However, their long wavelength, strong penetrability, and tendency to diffract make direction control and intensity enhancement challenging. Acoustic generators and metamaterial‐based acoustic devices still face issues such as low energy efficiency, poor directional ...
Jingsong Xu +13 more
wiley +1 more source
On equivalence of entropy and viscosity solutions to degenerate parabolic equations and applications [PDF]
arXivHere, we consider anisotropic degenerate parabolic-hyperbolic equations and degenerate quasilinear Hamilton-Jacobi equations. We prove the equivalence of two notions of entropy and viscosity solutions of two equations, and apply it to obtain a large-time behavior of viscosity solutions to quasilinear Hamilton-Jacobi equations, and entropy solutions to ...
arxiv
Weak Solution of a Doubly Degenerate Parabolic Equation [PDF]
arXiv, 2016 This paper studies a fourth-order, nonlinear, doubly-degenerate parabolic equation derived from the thin film equation in spherical geometry. A regularization method is used to study the equation and several useful estimates are obtained. The main result of this paper is to prove the existence of a weak solution of the equation in a weighted Sobolev ...
arxiv