Majoration en norme hölderienne de la résolvante du laplacien dans un ouvert avec coins
Majorations a priori et problèmes frontière elliptiques du second ordre
Mathematical and physical aspects of the initial value problem for a nonlocal model of heat propagation with finite speed
Theories of heat predicting a finite speed of propagation of thermal signals have come into existence during the last 50 years. It is worth emphasizing that in contrast to the classical heat theory, these nonclassical theories involve a hyperbolic type heat equation and are based on experiments exhibiting the actual occurrence of wave-type heat transport (so called second sound). This paper presents a new system of equations describing a nonlocal model of heat propagation with finite speed in the...
Maximizers for the Strichartz and the Sobolev-Strichartz inequalities for the Schrödinger equation.
Maximizers for the Strichartz Inequality
We compute explicitly the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for the Schrödinger equation and for the wave equation in the cases when the Lebesgue exponent is an even integer.
Maximum principle and existence of positive solutions for nonlinear systems on .
Maximum Principle and Its Application for the Time-Fractional Diffusion Equations
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion equation and the diffusion equation of distributed order is formulated and discussed. In these equations, the time-fractional derivative is defined in the Caputo sense. In contrast to the Riemann-Liouville fractional derivative, the Caputo fractional...
Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
Maximum principles and the method of moving planes for a class of degenerate elliptic linear operators
We deal with maximum principles for a class of linear, degenerate elliptic differential operators of the second order. In particular the Weak and Strong Maximum Principles are shown to hold for this class of operators in bounded domains, as well as a Hopf type lemma, under suitable hypothesis on the degeneracy set of the operator. We derive, as consequences of these principles, some generalized maximum principles and an a priori estimate on the solutions of the Dirichlet problem for the linear equation....
Maximum principles for some quasilinear second order partial differential equations
Mean value and Harnack inequalities for a certain class of degenerate parabolic equations.
In this paper we study the behavior of degenerate parabolic equations of the formv(x) ut(x,t) = Σni,j=1 Dxi (aij(x,t) Dxi u(x,t)),where the coefficients are measurable functions.
Mean value and Harnack inequalities for degenerate parabolic equations
Metodi di simmetrizzazione nelle equazioni alle derivate parziali
A survey of the fundamental ideas which are the base of the socalled symmetrization method; a priori estimates in partial differential equations.
Mixed problem with integral boundary condition for a high order mixed type partial differential equation.
Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type.
Monotonicity properties for ground states of the scalar field equation
Morrey estimates for parabolic nondivergence operators of Hörmander type
Multi-bump ground states of the Gierer–Meinhardt system in R2
Multiple boundary peak solutions for some singularly perturbed Neumann problems
Multiplicity results for an inhomogeneous Neumann problem with critical exponent.