Some nonexistence results for higher-order evolution inequalities in cone-like domains.
Some problems for nonlinear pseudoparabolic equations in nontube domains.
Some problems of parabolic type with discontinuous nonlinearities on convex constraints
We study semilinear equations and inequalities of parabolic type with discontinuous nonlinearities, possibly subjected to convex or even nonconvex constraint conditions. To prove some existence theorems we regard the solutions as «curves of maximal relaxed slope» for a suitable functional on the given constraint.
Some properties of a generalized heat potential (Preliminary communication)
Some properties of solutions for a class of metaparabolic equations.
Some properties of solutions for the generalized thin film equation in one space dimension.
Some properties of solutions of the pseudo-parabolic equation.
Some properties of stationary parabolic mixed problems in an infinite cylinder
Some properties of weighted Sobolev spaces in
Some recent results on blow-up on the boundary for the heat equation
Some regularity results for quasi-linear parabolic systems
Some regularity results for quasilinear parabolic systems
Some remarks on gradient estimates for heat kernels.
Some remarks on the Galerkin approximation of parabolic equations
Some remarks on time-dependent evolution systems in the hyperbolic case
Some results about blow-up and global existence to a semilinear degenerate heat equation.
Some results about dissipativity of Kolmogorov operators
Given a Hilbert space with a Borel probability measure , we prove the -dissipativity in of a Kolmogorov operator that is a perturbation, not necessarily of gradient type, of an Ornstein-Uhlenbeck operator.
Some results about multiplicity and bifurcation of stationary solutions of a reaction diffusion climatological model.
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
Some results on the well-posedness of an integro-differential Frémond model for shape memory alloys.
Some simple nonlinear PDE's without solutions
In questo articolo consideriamo alcune semplici equazioni a derivate parziali elittiche nonlineari, per le quali il Teorema della Funzione Inversa, se applicato in modo formale, suggerisce l'esistenza di soluzioni. Nonostante ciò, proviamo che non esistono soluzioni neppure in vari sensi deboli. Un problema modello è dato da in , su , dove , , è un dominio limitato contenente . Per qualunque costante , arbitrariamente piccola, proviamo che questo problema non ammette soluzioni distribuzionali...