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In this paper, we establish existence and finite time blow up of weak solutions of a parabolic equation of p(x)-Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper… Click to show full abstract
In this paper, we establish existence and finite time blow up of weak solutions of a parabolic equation of p(x)-Laplacian type with the Dirichlet boundary condition. Moreover, we obtain upper and lower bounds for the blow up time of solutions, by employing concavity method and differential inequality technique respectively.
Keywords:
parabolic equation;
blow studies;
studies laplacian;
existence blow;
laplacian parabolic;
equation
Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2020
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Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!