Cauchy problems of semilinear pseudo-parabolic equations |
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Authors: | Yang Cao |
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Institution: | Department of Mathematics, Jilin University, Changchun 130012, PR China |
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Abstract: | This paper concerns with the Cauchy problems of semilinear pseudo-parabolic equations. After establishing the necessary existence, uniqueness and comparison principle for mild solutions, which are also classical ones provided that the initial data are appropriately smooth, we investigate large time behavior of solutions. It is shown that there still exist the critical global existence exponent and the critical Fujita exponent for pseudo-parabolic equations and that these two critical exponents are consistent with the corresponding semilinear heat equations. |
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Keywords: | 35K70 35B05 35B40 |
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