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Published in 2021 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2021.109232
Abstract: We are interested in studying the coupled wave and Klein-Gordon equations with null quadratic nonlinearities in $\mathbb{R}^{2+1}$. We want to establish the small data global existence result, and in addition, we also demonstrate the pointwise…
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Keywords:
system;
global solution;
klein gordon;
wave klein ... See more keywords
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Published in 2020 at "Stochastics and Dynamics"
DOI: 10.1142/s0219493720400122
Abstract: The objective of this paper is to prove the existence of a global solution to a certain stochastic partial differential equation subject to the L2-norm being constrained. The corresponding evolutio...
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Keywords:
nonlinear stochastic;
global solution;
solution nonlinear;
solution ... See more keywords
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Published in 2022 at "Axioms"
DOI: 10.3390/axioms11090429
Abstract: We consider an equation with exponential nonlinearity under the Dirichlet boundary condition. For a one- or two-dimensional domain, a global solution has been obtained. In this paper, to extend the result to a higher dimensional…
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Keywords:
remarks radial;
equation;
radial solutions;
solutions parabolic ... See more keywords