Generic properties of von Kármán equations
Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
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 existence and blow-up for a completely coupled Fujita type system
The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form
Global Existence for Quasi-Linear Dissipative Wave Equations with Large Data and Small Parameter.
Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in and space dimensions
Global Instability and Essential Spectrum in Semilinear Evolution Equations.
Global solution for the Kadomtsev-Petviashvili equation (KPII) in anisotropic Sobolev spaces of negative indices.
Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data.
Global well-posedness of the initial value problem for the Hirota-Satsuma system.
G-сходимость одного класса эволюционных операторов
Haar inequality in hereditary setting and applications
Homogénéisation du problème des courants de Foucault dans un transformateur
Homogenization with uncertain input parameters
We homogenize a class of nonlinear differential equations set in highly heterogeneous media. Contrary to the usual approach, the coefficients in the equation characterizing the material properties are supposed to be uncertain functions from a given set of admissible data. The problem with uncertainties is treated by means of the worst scenario method, when we look for a solution which is critical in some sense.
Huygens' principle
Identifiabilité d'un coefficient variable en espace dans une équation parabolique
Il problema di Stefan con condizioni al contorno non lineari
Inertial manifolds of damped semilinear wave equations
Infinite systems of first order PFDEs with mixed conditions
We consider mixed problems for infinite systems of first order partial functional differential equations. An infinite number of deviating functions is permitted, and the delay of an argument may also depend on the spatial variable. A theorem on the existence of a solution and its continuous dependence upon initial boundary data is proved. The method of successive approximations is used in the existence proof. Infinite differential systems with deviated arguments and differential integral systems...
Influence of diffusion on interactions between malignant gliomas and immune system
We analyse the influence of diffusion and space distribution of cells in a simple model of interactions between an activated immune system and malignant gliomas, among which the most aggressive one is GBM Glioblastoma Multiforme. It turns out that diffusion cannot affect stability of spatially homogeneous steady states. This suggests that there are two possible outcomes-the solution is either attracted by the positive steady state or by the semitrivial one. The semitrivial steady state describes...