On the penalized obstacle problem in the unit half ball.
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 poles of the scattering matrix for two convex obstacles
On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure.
On the principal eigenvalue of elliptic operators in and applications
Two generalizations of the notion of principal eigenvalue for elliptic operators in are examined in this paper. We prove several results comparing these two eigenvalues in various settings: general operators in dimension one; self-adjoint operators; and “limit periodic” operators. These results apply to questions of existence and uniqueness for some semilinear problems in the whole space. We also indicate several outstanding open problems and formulate some conjectures.
On the Principal Eigenvalues of Indefinite Elliptic Problems.
On the Principle of Linearized Stability for Varitional Inequalities.
On the qualitative theory of parametrized families of free boundaries.
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section
On the quenching of solutions of the wave equation with a nonlinear boundary condition.
On the radial solutions of a degenerate quasilinear elliptic equation in
On the radially symmetric solutions of a BVP for a class of nonlinear elliptic partial differential equations.
On the radius of spatial analyticity for the higher order nonlinear dispersive equation
In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data . The analytic initial data can be extended as holomorphic functions in a strip around the -axis. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019).
On the rate of the volume growth for symmetric viscous heat-conducting gas flows with a free boundary.
On the regular solutions for some classes of Navier-Stokes equations
On the regularity for solutions of the micropolar fluid equations
On the regularity of a free boundary for a nonlinear obstacle problem arising in superconductor modelling
On the regularity of averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces.
On the regularity of boundary traces for the wave equation
On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces.