Life span of blow-up solutions for higher-order semilinear parabolic equations.
Littlewood-Paley a priori estimates for parabolic equations with sub-Dini continuous coefficients
Long range diffusion reaction model on population dynamics.
Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order
Nash-Moser techniques for nonlinear boundary-value problems.
Nonhomogeneous initial-boundary value problems for linear parabolic systems
Non-linear stability analysis of higher order dissipative partial differential equations.
On higher-order semilinear parabolic equations with measures as initial data
We consider th-order semilinear parabolic equations in , with Dirac’s mass as the initial function. We show that for , the Cauchy problem admits...
On Maximal Functions and Parabolic Limits.
On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form.
We consider the linear convection-diffusion equation associated to higher order elliptic operators⎧ ut + Ltu = a∇u on Rnx(0,∞)⎩ u(0) = u0 ∈ L1(Rn),where a is a constant vector in Rn, m ∈ N*, n ≥ 1 and L0 belongs to a class of higher order elliptic operators in divergence form associated to non-smooth bounded measurable coefficients on Rn. The aim of this paper is to study the asymptotic behavior, in Lp (1 ≤ p ≤ ∞), of the derivatives Dγu(t) of the solution of the convection-diffusion equation...
Optimal regularity for one-dimensional porous medium flow.
We give a new proof of the Lipschitz continuity with respect to t of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal t-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.
Pseudo-processes governed by higher-order fractional differential equations.
Solution to the triharmonic heat equation.
Solutions of a fourth order degenerate parabolic equation with weak initial trace
Some -error estimates for semi-variational method applied to parabolic equations
Su certe equazioni astratte ultraparaboliche
Sur l'unicité des solutions du problème de Cauchy pour quelques équations paraboliques
The averaging principle in the case of the Cauchy problem for quasilinear parabolic equations with variable principal part.
The Cauchy problem for degenerate parabolic equations in Gevrey classes
The Cauchy problem for Shilov-parabolic equations.