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We study some classes of functions satisfying the assumptions similar to but weaker than those for the classical B2 function classes used in the research of quasi-linear parabolic equations as well as the ones used in the research of degenerate parabolic equations including porous medium equationsl.Comsequently,we prove that a function in such a class is continuous.As an application,we obtain the estimate for the continuous modulus of the solutions of a few degenerate parabolic equations in divergence form,including the anisotropic porous equations. 相似文献
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合成了介孔二氧化硅负载金纳米颗粒(Au-MSN), 通过壳聚糖(CHIT)将Au-MSN固定到裸玻碳电极表面, 采用自组装法将带巯基的血小板衍生生长因子(PDGF)核酸适体固定到Au-MSN修饰过的玻碳电极表面, 制得PDGF核酸适体传感器. 以亚甲基蓝作为电化学活性嵌入剂, 通过检测核酸适体与目标分析物PDGF特异性结合前后亚甲基蓝电信号的变化, 实现了对PDGF的定量检测. 考察了缓冲溶液的pH、 扫描速度及PDGF培育时间等条件对检测结果的影响. 结果表明, 在pH为7.6时, 该传感器的检测范围为0.1 pg/mL~1 μg/mL, 检出限为0.03 pg/mL. 该传感器制作简单、 成本低廉、 灵敏度高且稳定性好. 相似文献
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We study some classes of functions satisfying the assumptions similar to but weaker than those for the classical B2 function classes used in the research of quasi-linear parabolic equations as well as the ones used in the research of degenerate parabolic equations including porous medium equations. Consequently, we prove that a function in such a class is continuous. As an application, we obtain the estimate for the continuous modulus of the solutions of a few degenerate parabolic equations in divergence form, including the anisotropic porous equations. 相似文献
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