An elementary proof for one-dimensionality of travelling waves in cylinders.
An incorrectly posed problem for nonlinear elliptic equations.
An inhomogeneous Dirichlet problem for a non-hypoelliptic linear partial differential operator.
Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
Applications of an extended -expansion method to find exact solutions of nonlinear PDEs in mathematical physics.
Applications of the bifurcation theory to evaluating critical conditions of the thermal explosion
Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters
Asymptotic formulas for solutions of parameter-depending elliptic boundary-value problems in domains with conical points.
Asymptotic properties of a semilinear heat equation with strong absorption and small diffusion.
Asymptotics of the first boundary problem for elliptic equations in a domain with thin covering.
Behaviour of solutions to as p → +∞
Blow up above stationary solutions of certain nonlinear parabolic equations
Blow up, global existence and growth rate estimates in nonlinear parabolic systems
We prove Fujita-type global existence and nonexistence theorems for a system of m equations (m > 1) with different diffusion coefficients, i.e. with nonnegative, bounded, continuous initial values and , , , . For solutions which blow up at , we derive the following bounds on the blow up rate: with C > 0 and defined in terms of .
Boundary layers for transmission problems with singularities.
Breathers and forced oscillations of nonlinear wave equations on R3.
Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients
In the case of initial data belonging to a wide class of functions including distributions of Gelfand-Shilov type we establish the correct solvability of the Cauchy problem for a new class of Shilov parabolic systems of equations with partial derivatives with bounded smooth variable lower coefficients and nonnegative genus. We also investigate the conditions of local improvement of the convergence of a solution of this problem to its limiting value when the time variable tends to zero.
Classes d'opérateurs faiblement hyperboliques non linéaires
Classical Solutions of the Chain Equations.
Coherent nonlinear waves and the Wiener algebra
We study oscillatory solutions of semilinear first order symmetric hyperbolic system , with real analytic .The main advance in this paper is that it treats multidimensional problems with profiles that are almost periodic in with only the natural hypothesis of coherence.In the special case where has constant coefficients and the phases are linear, the solutions have asymptotic descriptionwhere the profile is almost periodic in .The main novelty in the analysis is the space of profiles which...