Journal
APPLIED MATHEMATICS LETTERS
Volume 131, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2022.108038
Keywords
KGS system; Singular weak solutions; Uniqueness; Regularity
Categories
Funding
- National Natural Science Foundation of China [12061040, 11701244, 11901266]
- Natural Science Foundation of Gansu Province in China [20JR5RA460, 21JR7RA253]
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Motivated by the potential singularity in the stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrodinger (KGS) system in one space dimension. Our result demonstrates the existence of singular solutions, some of which may exhibit exponential growth with respect to the spatial variable.
Motivated by the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrodinger (KGS) system in one space dimension. Our result shows there exist singular solutions, part of which may increase exponentially with respect to the spatial variable. (c) 2022 Elsevier Ltd. All rights reserved.
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