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This paper concerns with a semilinear heat equation with singular potential and logarithmic nonlinearity. By using the logarithmic Sobolev inequality and a family of potential wells, the existence of global… Click to show full abstract
This paper concerns with a semilinear heat equation with singular potential and logarithmic nonlinearity. By using the logarithmic Sobolev inequality and a family of potential wells, the existence of global solutions and infinite time blow-up solutions are obtained. The results of this paper indicate that the polynomial nonlinearity is a critical condition of existence of finite time blow-up solutions to semilinear heat equation with singular potential.
Keywords:
semilinear heat;
heat equation;
equation singular;
singular potential;
blow solutions
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020
Link to full text (if available)
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2020
Link to full text (if available)
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recommendations!