混合边界条件下一致抛物型方程解的整体存在

为了发展一致抛物型方程解的整体存在和爆破理论,本文考虑了非线性抛物型方程在混合边界条件下解的整体存在。该模型源于自然界中广泛存在的扩散现象,以往的方法很难对它进行较详细的描述。本文以非线性抛物型方程解的泛涵的极大值原理为主要工具,结合比较原理、上下解方法和微分、积分不等式技巧,讨论了该类问题解的整体存在的条件。

Global Existence of Solution of Uniformly Parabolic Equation under the Mixed Boundary Condition

To develop the global existence of solutions and the blasting theory of the uniformly parabolic equation,the article considers the global existence of nonlinear parabolic equation under the mixed boundary condition.The model comes from proliferation existed in the nature.It is very difficult to describe it carefully in terms of the old methods.Taking the maximum principle as the main tool,this article combines the comparison principle,upper and lower solutions,differential and integral inequality,to discuss the conditions of global existence for such equations.