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Quasilinear Parabolic Equations and the Ricci Flow on Manifolds with Boundary
Quasilinear Parabolic Equations Ricci Manifolds with Boundary
2011/1/21
The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary @M. We establish a short-time existence theorem for this ...
Blow-up of Positive Solutions of Quasilinear Parabolic Equations with Mixed Boundary Conditions
Parabolic equation mixed boundary condition blow-up maximum principle
2008/11/25
This paper deals with the blow-up of positive solutions of a quasilinear parabolic equation
subject to mixed boundary conditions. The blow-up of the solutions in a finite time is proved
by the maxim...
Weak Periodic Solutions of Some Quasilinear Parabolic Equations with Data Measures
Quasilinear equations Periodic Parabolic Convex nonlinearities Data measures Nonlinear capacities
2008/6/26
The goal of this paper is to study the existence of weak periodic solutions for some quasilinear parabolic equations with data measures and critical growth nonlinearity with respect to the gradient. T...
A NEWTON MULTIGRID METHOD FOR QUASILINEAR PARABOLIC EQUATIONS
Quasilinear parabolic equation finite e
2007/8/7
A combination of the classical Newton Method and themultigrid method, i.e., a Newton multigrid method is given forsolving quasilinear parabolic equations discretized by finiteelements. The convergence...