Gevrey hypoellipticity for partial differential equations with characteristics of higher multiplicity.
Gevrey problem for parabolic equations with changing time direction.
Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations
Gevrey solvability for semilinear partial differential equations with multiple characteristics
Vengono considerate equazioni alle derivate parziali semilineari con caratteristiche multiple. Si studia in particolare la loro risolubilità locale e la buona positura del problema di Cauchy nell'ambito delle classi di Gevrey.
Gewöhnliche Differentialgleichungen für Erzeugende gewisser Bergman-Operatoren.
Ginzburg-Landau vortices : the static model
Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
Global analytic and Gevrey surjectivity of the Mizohata operator
Global analytic and Gevrey surjectivity of the Mizohata operator
The surjectivity of the operator from the Gevrey space , , onto itself and its non-surjectivity from to is proved.
Global analytic hypoellipticity of the ?-Neumann problem on circular domains.
Global and blowup solutions of quasilinear parabolic equation with critical Sobolev equation and lower energy initial value.
Global and exponential attractors for a Caginalp type phase-field problem
We deal with a generalization of the Caginalp phase-field model associated with Neumann boundary conditions. We prove that the problem is well posed, before studying the long time behavior of solutions. We establish the existence of the global attractor, but also of exponential attractors. Finally, we study the spatial behavior of solutions in a semi-infinite cylinder, assuming that such solutions exist.
Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system
The paper deals with positive solutions of a nonlocal and degenerate quasilinear parabolic system not in divergence form with null Dirichlet boundary conditions. By using the standard approximation method, we first give a series of fine a priori estimates for the solution of the corresponding approximate problem. Then using the diagonal method, we get the local existence and the bounds of the solution to this problem. Moreover, a necessary and sufficient condition for the non-global existence...
Global asymptotic stability of 3-species mutualism models with diffusion and delay effects.
Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
In this paper several models in virus dynamics with and without immune response are discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses and T-cells is included. It is shown that, depending on the value of the basic reproductive number R0 of the virus, the corresponding equilibrium is globally asymptotically stable. If R0 < 1 then the virus-free equilibrium has this property, and in case R0 > 1 there is a unique disease equilibrium which takes over this...
Global asymptotic stability of solutions to nonlinear marine riser equation.
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction
Global attraction to solitary waves in models based on the Klein-Gordon equation.
Global attractivity, oscillation and Hopf bifurcation for a class of diffusive hematopoiesis models
In this paper, we discuss the special diffusive hematopoiesis model with Neumann boundary condition. Sufficient conditions are provided for the global attractivity and oscillation of the equilibrium for Eq. (*), by using a new theorem we stated and proved. When P(t, χ) does not depend on a spatial variable χ ∈ Ω, these results are also true and extend or complement existing results. Finally, existence and stability of the Hopf bifurcation for Eq. (*) are studied.
Global attractor and finite dimensionally for a class of dissipative equations of BBM's type.