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ABSTRACT The paper considers the blow-up solution for the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: where p>2 and is a bounded convex domain with smooth boundary . By… Click to show full abstract
ABSTRACT The paper considers the blow-up solution for the following nonlinear reaction-diffusion equations under nonlinear boundary conditions: where p>2 and is a bounded convex domain with smooth boundary . By means of constructing auxiliary functions and a first-order differential inequality technique, we obtain the upper and lower bounds on blow-up time under some appropriate assumptions. Moreover, some examples are also presented as application of our main results.
Keywords:
boundary conditions;
equations nonlinear;
diffusion equations;
reaction diffusion;
nonlinear reaction;
nonlinear boundary
Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
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Journal Title: Applicable Analysis
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!