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14 papers · 2 filters
The fractional Laplacian in power-weighted spaces: integration-by-parts formulas and self-adjointness
Matteo Muratori
We consider the fractional Laplacian operator (let ) on Euclidean space and investigate the validity of the classical integration-by-parts formula that conn…
Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems
Pierluigi Colli, Takeshi Fukao
An asymptotic limit of a class of Cahn-Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of we…
A Fredholm alternative for quasilinear elliptic equations with right hand side measure
Michele Colturato, Marco Degiovanni
We consider a quasilinear elliptic equation, with right hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the F…
On the Maxwell-Stefan diffusion limit for a mixture of monatomic gases
Harsha Hutridurga, Francesco Salvarani
Multi-species Boltzmann equations for gaseous mixtures, with analytic cross sections and under Grad's angular cutoff assumption, are considered under diffusive scaling. In the limi…
The Petrovski\uı criterion and barriers for degenerate and singular p-parabolic equations
Anders Björn, Jana Björn, Ugo Gianazza
In this paper we obtain sharp Petrovskii criteria for the p-parabolic equation, both in the degenerate case p>2 and the singular case 1<p<2. We also give an example of an irregular…
Analysis of a diffuse interface model of multispecies tumor growth
Mimi Dai, Eduard Feireisl, Elisabetta Rocca +2
We consider a diffuse interface model for tumor growth recently proposed in [Y. Chen, S.M. Wise, V.B. Shenoy, J.S. Lowengrub, A stable scheme for a nonlinear, multiphase tumor grow…