Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation
Stability of semilinear equations with boundary and pointwise noise
Stabilization of solutions of a nonlinear parabolic equation with a gradient term.
Stable subharmonic solutions and asymptotic behavior in reaction-diffusion equations.
Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions.
Strongly nonlinear parabolic equations with natural growth terms and data in Orlicz spaces.
Strongly nonlinear parabolic initial-boundary value problems in Orlicz spaces.
Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type
Su un teorema di unicità per l'equazione semilineare del calore in un dominio illimitato
A periodic BVP for a semilinear elliptic-parabolic equation in an unbounded domain contained in a half-space of is considered, with Dirichlet boundary conditions on the finite part of . A theorem of uniqueness of periodic solutions is proved by showing that a suitable function of the "energy" is subharmonic in and satisfies a Phragmèn-Lindelöf growth condition at infinity.
Summability of the solutions to nonlinear parabolic equations with measure data.
Super and ultracontractive bounds for doubly nonlinear evolution equations.
We use logarithmic Sobolev inequalities involving the p-energy functional recently derived in [15], [21] to prove Lp-Lq smoothing and decay properties, of supercontractive and ultracontractive type, for the semigroups associated to doubly nonlinear evolution equations of the form u· = Δp(um) (with m(p - 1) ≥ 1) in an arbitrary euclidean domain, homogeneous Dirichlet boundary conditions being assumed. The bound are of the form ||u(t)||q ≤ C||u0||rγ / tβ for any r ≤ q ∈ [1,+∞) and t > 0 and...
Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u), Part II.
In this paper we consider a nonlinear parabolic equation of the following type:(P) ∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u)with Dirichlet boundary conditions and initial data in the case when 1 < p < 2.We construct supersolutions of (P), and by use of them, we prove that for tn → +∞, the solution of (P) converges to some solution of the elliptic equation associated with (P).
Supersolutions and stabilization on the solution of a nonlinear parabolic system.
Sur l'équation de la corrosion intergranulaire par diffusion de surface
Sur l'existence et la régularité des solutions faibles d'une inéquation parabolique non linéaire.
Sur un problème parabolique-elliptique
Sur un problème parabolique-elliptique
We prove existence (uniqueness is easy) of a weak solution to a boundary value problem for an equation like where the function is only supposed to be locally lipschitz continuous. In order to replace the lack of compactness in t on v<1, we use nonlinear semigroup theory.
Sur une classe de problèmes d'évolution quasi linéaires dégénérés.