semilinear wave equation with non-monotone nonlinearity
Copyright policy )semilinear wave equation with non-monotone nonlinearity
We prove the existence of weak solutions to a semilinear wave with non-monotone asymptotically linear nonlinearity when the forcing is dominated by a trigonometric polynomial. See also https://ejde.math.txstate.edu/special/02/c1/abstr.html
- Harvey Mudd College United States
- District University of Bogotá Colombia
- National University of Colombia Colombia
Wave Equations, Geometry, Theory and Applications of Fractional Differential Equations, Polynomial, Mathematical analysis, Quantum mechanics, Engineering, semilinear wave equation, QA1-939, FOS: Mathematics, Global Well-Posedness of Nonlinear Wave Equations, Mathematical Physics, Trigonometric functions, Forcing (mathematics), Applied Mathematics, Physics, Pure mathematics, weak solution, characteristic lines, Semilinear Differential Equations, nazarov-turan lemma, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Monotone polygon, Trigonometry, non-monotone nonlinearity, Mathematics
Wave Equations, Geometry, Theory and Applications of Fractional Differential Equations, Polynomial, Mathematical analysis, Quantum mechanics, Engineering, semilinear wave equation, QA1-939, FOS: Mathematics, Global Well-Posedness of Nonlinear Wave Equations, Mathematical Physics, Trigonometric functions, Forcing (mathematics), Applied Mathematics, Physics, Pure mathematics, weak solution, characteristic lines, Semilinear Differential Equations, nazarov-turan lemma, Control and Systems Engineering, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Monotone polygon, Trigonometry, non-monotone nonlinearity, Mathematics
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