NULL CONTROLLABILITY FOR SEMILINEAR HEAT EQUATION WITH DYNAMIC BOUNDARY CONDITIONS
Discrete and Continuous Dynamical Systems - Series S, ISSN: 1937-1179, Vol: 15, Issue: 5, Page: 1525-1546
2022
- 8Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations8
- Citation Indexes8
- CrossRef1
Article Description
This paper deals with the null controllability of the semilinear heat equation with dynamic boundary conditions of surface diffusion type, with nonlinearities involving drift terms. First, we prove a negative result for some function F that behaves at infinity like |s|ln(1 + |s|), with p > 2. Then, by a careful analysis of the linearized system and a fixed point method, a null controllability result is proved for nonlinearties F(s, ξ) and G(s, ξ) growing slower than |s|ln/(1 + |s| + kξk) + kξkln/(1 + |s| + kξk) at infinity.
Bibliographic Details
American Institute of Mathematical Sciences (AIMS)
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