Nonlinear functional integrodifferential equations in Hilbert space.
Nonlinear Galerkin method in the finite difference case and wavelet-like incremental unknowns.
Nonlinear Galerkin Methods: The Finite Elements Case.
Nonlinear Heat Equation with a Fractional Laplacian in a Disk
For the nonlinear heat equation with a fractional Laplacian , 1 < α ≤ 2, the first initial-boundary value problem in a disk is considered. Small initial conditions, homogeneous boundary conditions, and periodicity conditions in the angular coordinate are imposed. Existence and uniqueness of a global-in-time solution is proved, and the solution is constructed in the form of a series of eigenfunctions of the Laplace operator in the disk. First-order long-time asymptotics of the solution is obtained....
Nonlinear homogeneous eigenvalue problem in : nonstandard variational approach
The nonlinear eigenvalue problem for p-Laplacian is considered. We assume that and that is indefinite weight function. The existence and -regularity of the weak solution is proved.
Nonlinear Hyperbolic Smoothing at a Focal Point
The nonlinear dissipative wave equation in dimension has strong solutions with the following structure. In the solutions have a focusing wave of singularity on the incoming light cone . In that is after the focusing time, they are smoother than they were in . The examples are radial and piecewise smooth in
Non-linear initial data for second and higher order semi-linear elliptic equations.
Nonlinear instability in an ideal fluid
Nonlinear instability of double-humped equilibria
Nonlinear integroparabolic equations on unbounded domains: existence of classical solutions with special properties.
Nonlinear Kirchhoff-Carrier wave equation in a unit membrane with mixed homogeneous boundary conditions.
Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations.
Nonlinear models for laser-plasma interaction
In this paper, we present a nonlinear model for laser-plasma interaction describing the Raman amplification. This system is a quasilinear coupling of several Zakharov systems. We handle the Cauchy problem and we give some well-posedness and ill-posedness result for some subsystems.
Nonlinear models of suspension bridges: discussion of the results
In this paper we present several nonlinear models of suspension bridges; most of them have been introduced by Lazer and McKenna. We discuss some results which were obtained by the authors and other mathematicians for the boundary value problems and initial boundary value problems. Our intention is to point out the character of these results and to show which mathematical methods were used to prove them instead of giving precise proofs and statements.
Nonlinear monotone semigroups and viscosity solutions
Nonlinear multidimensional parabolic-hyperbolic equations.
Nonlinear Neumann problems on bounded Lipschitz domains.
Non-linear Neumann's condition for the heat equation : a probabilistic representation using catalytic super-brownian motion
Nonlinear nonautonomous partial functional differential BVP.
Nonlinear noncoercive boundary value problems