Abstract
AbstractIn this paper, a priori estimate for a linear third pseudoparabolic operator with bound is established, and applying the above result, the existence and uniqueness theorem of solutions for a class of nonlinear pseudoparabolic equations is obtained with the help of the homeomorphism method and the initial value method. Furthermore, an existence and uniqueness theorem of the semilinear equation is obtained as a corollary.
Funder
The work has been supported by the Natural Science Foundation of Changzhou Institute of Technology.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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