Browsing by Subject "Parabolic equations"
Now showing items 1-4 of 4
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Article
Boundary value problems for quasilinear ODEs
(2005)A priori bounds for the quasilinear ordinary differential equations (ODE), are discussed. A priori bounds for the derivative of the solution of one-dimensional p-Laplacian are proved. The global solvability of quasilinear ...
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Article
Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation
(2004)We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a pseudo-spectral method. We ...
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Article
On the invariants of two dimensional linear parabolic equations
(2012)We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results ...
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Article
Regularity for fully nonlinear parabolic equations with oblique boundary data
(EMS Press, 2021)We obtain, up to a flat boundary, regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.