Sur la résolution de certaines equations paraboliques non linéaires
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This article is published in Journal of Functional Analysis.The article was published on 1970-04-01 and is currently open access. It has received 114 citations till now.read more
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On A Class Of Doubly Nonlinear Evolution Equations
Pierluigi Colli,Augusto Visintin +1 more
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On solutions of some doubly nonlinear degenerate parabolic equations with absorption
TL;DR: In this paper, the existence, uniqueness, regularity, and behavior of solutions to the initial-boundary value problem with zero-Dirichlet boundary condition and with nonnegative initial condition were studied in a bounded domain in R N, where β, γ, λ ⩾ 0 and p > 1.
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Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
TL;DR: On demontre un resultat d'existence pour le probleme aux valeurs limites et initiales: ∂(|u| q−1 sign u)/∂t+A 1 u=f sur ∂Ω×(0, T), u=u 0 sur Ω pour t=0, A 1 u=(−1) m Σ | α |=m Dα(|Dα) pour p, q>1, m, n≥1 et Ω⊂R n un ensemble ou
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On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations
TL;DR: In this paper, the authors prove Holder regularity for bounded weak solutions of nonlinear parabolic equations with measurable coefficients, and the prototype of this class of equations is defined as follows:
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Homogeneous diffusion in ℝ with power-like nonlinear diffusivity
TL;DR: In this paper, the authors studied the nonnegative solutions of the initial value problem where p>0, r+p>0 and the local velocity of propagation of the solutions was identified as V = -vx| vx|p-1 where v =cuα (with r +p - 1)/p and c (r +p/(r + p- 1)) is the nonlinear potential.
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