On the oscillation of solutions of parabolic partial functional differential equations
On the oscillation of some impulsive parabolic equations with several delays
In this paper, several oscillation criteria are established for some nonlinear impulsive functional parabolic equations with several delays subject to boundary conditions. We shall mainly use the divergence theorem and some corresponding impulsive delayed differential inequalities.
On the -growth of entire function solutions of Helmholtz equation.
On the perturbation propagation in the initial-boundary value problem for quasilinear first order equations.
The paper deals with initial-boundary value problem for generalized solutions of single quasilinear nonautonomous conservation law. For the case so-called "processes with aggravation" the localization property and inner boundedness are studied. Also in case when boundary function tends to zero as t ⇒ +∞ the localization effect is regarded.
On the radially symmetric solutions of a BVP for a class of nonlinear elliptic partial differential equations.
On the regular solutions for some classes of Navier-Stokes equations
On the Schrödinger heat kernel in horn-shaped domains
We prove pointwise lower bounds for the heat kernel of Schrödinger semigroups on Euclidean domains under Dirichlet boundary conditions. The bounds take into account non-Gaussian corrections for the kernel due to the geometry of the domain. The results are applied to prove a general lower bound for the Schrödinger heat kernel in horn-shaped domains without assuming intrinsic ultracontractivity for the free heat semigroup.
On the solutions of nonlinear initial-boundary value problems.
On the Solvability of Semilinear Elliptic Equations with Nonlinear Boundary Conditions.
On the structure of the conformal Gaussian curvature equation on R2. II.
On uniqueness and nonuniqueness of the positive Cauchy problem for parabolic equations with unbounded coefficients.
Ondes oscillantes semi-linéaires en 1.d
Ondes progressives pour l’équation de Gross-Pitaevskii
Cet exposé présente les résultats de l’article [3] au sujet des ondes progressives pour l’équation de Gross-Pitaevskii : la construction d’une branche d’ondes progressives non constantes d’énergie finie en dimensions deux et trois par un argument variationnel de minimisation sous contraintes, ainsi que la non-existence d’ondes progressives non constantes d’énergie petite en dimension trois.
One-dimensional symmetry for solutions of quasilinear equations in
In this paper we consider two-dimensional quasilinear equations of the form and study the properties of the solutions u with bounded and non-vanishing gradient. Under a weak assumption involving the growth of the argument of (notice that is a well-defined real function since on ) we prove that is one-dimensional, i.e., for some unit vector . As a consequence of our result we obtain that any solution having one positive derivative is one-dimensional. This result provides a proof of...
Oscillation criteria for a class of nonlinear partial differential equations.
Oscillation criteria for half-linear partial differential equations via Picone's identity
Oscillation criteria for high order delay partial differential equations.
Oscillation criteria for nonlinear differential equations with -Laplacian
Recently there has been an increasing interest in studying -Laplacian equations, an example of which is given in the following form In particular, the first study of sufficient conditions for oscillatory solution of -Laplacian equations was made by Zhang (2007), but to our knowledge, there has not been a paper which gives the oscillatory conditions by utilizing Riccati inequality. Therefore, we establish sufficient conditions for oscillatory solution of nonlinear differential equations with...
Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments.
Oscillation criteria for semilinear elliptic equations with a damping term in .