
doi: 10.1007/bf01299293
In this note it will be shown how a theorem of Alexander [1] and Ize [9] together with computational results of Alexander and Yorke [4] and Alexander and Fitzpatrick [2] may be used to generalize the existence theorem for, and to prove some global results about, certain wave-like solutions of nonlinear systems of partial differential equations.
Existence of generalized solutions of PDE, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Coupled Parabolic Systems, Article, 510.mathematics, Initial value problems for second-order parabolic systems, Bifurcating Wave Solutions, Qualitative properties of solutions to partial differential equations
Existence of generalized solutions of PDE, Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs, Coupled Parabolic Systems, Article, 510.mathematics, Initial value problems for second-order parabolic systems, Bifurcating Wave Solutions, Qualitative properties of solutions to partial differential equations
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