Regularity results for a class of doubly nonlinear very singular parabolic equations
S Fornaro, E Henriques, V Vespri - Nonlinear Analysis, 2021 - Elsevier
The aim of this paper is to present several properties of the nonnegative weak solutions to a
class of very singular equations whose prototype is ut= div (um− 1| D u| p− 2 D u), p> 1 and …
class of very singular equations whose prototype is ut= div (um− 1| D u| p− 2 D u), p> 1 and …
On a model for the evolution of morphogens in a growing tissue II: θ=\log (2) θ= log (2) case
GM Coclite, MM Coclite - Zeitschrift für angewandte Mathematik und …, 2017 - Springer
We analyze a model for the regulation of growth and patterning in developing tissues by
diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear …
diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear …
Harnack type inequalities for the parabolic logarithmic p-Laplacian equation
S Fornaro, E Henriques, V Vespri - Le Matematiche, 2020 - lematematiche.dmi.unict.it
HARNACK TYPE INEQUALITIES FOR THE PARABOLIC LOGARITHMIC P-LAPLACIAN
EQUATION SIMONA FORNARO - EURICA HENRIQUES - VINCENZO VESPRI Page 1 LE …
EQUATION SIMONA FORNARO - EURICA HENRIQUES - VINCENZO VESPRI Page 1 LE …
A brief note on Harnack-type estimates for singular parabolic nonlinear operators
E Henriques, S Ciani - Bruno Pini Mathematical …, 2023 - mathematicalanalysis.unibo.it
A BRIEF NOTE ON HARNACK-TYPE ESTIMATES FOR SINGULAR PARABOLIC
NONLINEAR OPERATORS ——————– UNA BREVE NOTA SU DISUGU Page 1 A …
NONLINEAR OPERATORS ——————– UNA BREVE NOTA SU DISUGU Page 1 A …
Stability to a class of doubly nonlinear very singular parabolic equations
S Fornaro, E Henriques, V Vespri - manuscripta mathematica, 2021 - Springer
Stability to a class of doubly nonlinear very singular parabolic equations | manuscripta
mathematica Skip to main content SpringerLink Account Menu Find a journal Publish with us …
mathematica Skip to main content SpringerLink Account Menu Find a journal Publish with us …
Stability of solutions to nonlinear diffusion equations
T Lukkari - arXiv preprint arXiv:1206.2492, 2012 - arxiv.org
We prove stability results for nonlinear diffusion equations of the porous medium and fast
diffusion types with respect to the nonlinearity power $ m $: solutions with fixed data …
diffusion types with respect to the nonlinearity power $ m $: solutions with fixed data …
Two remarks on the local behavior of solutions to logarithmically singular diffusion equations and its porous-medium type approximations
E DiBenedetto, U Gianazza, N Liao - arXiv preprint arXiv:1305.0378, 2013 - arxiv.org
For the logarithmically singular parabolic equation\[u_t-\Delta\ln u= 0\qquad\text {weakly
in}\\E\times (0, T],\] we establish a Harnack type estimate in the $ L^ 1_ {loc} $ topology, and …
in}\\E\times (0, T],\] we establish a Harnack type estimate in the $ L^ 1_ {loc} $ topology, and …
Existence and nonexistence of solutions to a logarithmic diffusion equation in bounded domains
N Liao - Manuscripta Mathematica, 2015 - Springer
We construct solutions to the Dirichlet problem of a logarithmic diffusion equation with
boundary value that could vanish somewhere. We also provide nonexistence results that …
boundary value that could vanish somewhere. We also provide nonexistence results that …
Singular limits and properties of solutions of some degenerate elliptic and parabolic equations
KM Hui, S Kim - Proceedings of the Royal Society of Edinburgh …, 2019 - cambridge.org
Singular limits and properties of solutions of some degenerate elliptic and parabolic equations
Page 1 Proceedings of the Royal Society of Edinburgh, 149, 353–385, 2019 DOI:10.1017/prm.2018.31 …
Page 1 Proceedings of the Royal Society of Edinburgh, 149, 353–385, 2019 DOI:10.1017/prm.2018.31 …
[PDF][PDF] Publication II
K Moring, R Rainer - Regularity and stability properties for …, 2022 - eplus.uni-salzburg.at
Point of interest is the stability of weak solutions to parabolic systems∂ tu− div A (x, t, u, D (|
u| m− 1u))= 0(1.1) in a cylindrical domain with respect to the exponent m. A is a vector field …
u| m− 1u))= 0(1.1) in a cylindrical domain with respect to the exponent m. A is a vector field …