An infinite dimensional KAM theorem with application to two dimensional completely resonant beam equation
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DOI: 10.1063/1.5045780
Abstract: In this paper we consider the completely resonant beam equation on \T^2 with cubic nonlinearity on a subspace of L^2 (\T^2) which will be explained later. We establish an abstract infinite dimensional KAM theorem and… read more here.
Keywords: beam equation; infinite dimensional; completely resonant; resonant beam ... See more keywords
Sharp criteria of blow-up solutions for the cubic nonlinear beam equation
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DOI: 10.1186/s13661-019-1149-5
Abstract: In this paper, we obtain the precisely sharp criteria of blow-up and global existence for the cubic nonlinear beam equation in the H2$H^{2}$ energy-critical and H2$H^{2}$ sub-critical cases, respectively. read more here.
Keywords: sharp criteria; criteria blow; nonlinear beam; cubic nonlinear ... See more keywords