20 citations · 112 across the 42 of their papers we have counts for
5 papers · 2 filters
Refined Scattering and Hermitian Spectral Theory for Linear Higher-Order Schrödinger Equations
V. A. Galaktionov, I. V. Kamotski
A classification of large-time and finite-time blow-up asymptotics of solutions of the Cauchy problem for higher-order Schrödinger equations is performed.
Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials
V. A. Galaktionov
Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials. Extensions…
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
V. A. Galaktionov, V. Maz'ya
It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Pet…
Boundary characteristic point regularity for semilinear reaction-diffusion equations: Towards an ODE criterion
V. A. Galaktionov And V. Maz'ya
Boundary characteristic point regularity is studied for a class of semilinear heat equations and an ODE criterion of regularity is obtained. Extensions to higher-order semilinear p…
Variational Approach to Complicated Similarity Solutions of Higher-Order Nonlinear PDEs. II
V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev
Some higher-order quasilinear parabolic, hyperbolic, and nonlinear dispersion equations are shown to admit various blow-up, extinction, and travelling wave solutions, which reduce…