48As quantum well dependence on the conduction band nonparabolicity is studied within the framework of the 8×8 k·p model.

Quenching for a nonlinear parabolic equation with nonlinear singular boundary condition;

Existence of solutions of nonlinear parabolic equation with singular initial data in weighted spaces;

Large time behavior of nonlinear parabolic equation;

This paper is concerned with the decay properties for solutions of the nonlinear parabolic equations in twodimensional whole spaces R2.

In this paper a class of nonlinear parabolic equations boundary value problem is concerned,and sufficient conditions for the oscillation of solutions of the equation under the consideration with three kinds of boundasy conditions are given.

The development and the authors’ works on the existence、uniqueness and properties of solutions of the nonlinear parabolic equations with singularities are introduced.

Boundedness for solution of a doubly nonlinear parabolic system;

Although the boundedness results for solutions of single doubly nonlinear parabolic equations can be extended to that of doubly nonlinear parabolic systems in diagonal form, the integrability restrictions on the stuctural coefficients and on the unknown solutions are needed to be stiengthened.

The a priori estimate is established to the maximum modulus of solutionsof doubly nonlinear parabolic systems.