Local existence theory for the generalized Schrödinger equation
Gustavo Ponce (1997)
Journées équations aux dérivées partielles
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Displaying similar documents to “On strong globbal solutions of nonlinear hyperbolic equations”
Local existence theory for the generalized Schrödinger equation
Remarks on the wave equation with a nonlinear term with respect to the velocity
Haraux, A. (1992)
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Local well posedness of nonlinear Schrödinger equations
Carlos E. Kenig (1995)
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Blowup of solutions for evolution equations with nonlinear damping.
Wu, Shun-Tang, Tsai, Long-Yi (2006)
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estimates for the wave equation and applications
Christopher D. Sogge (1993)
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Global existence for the nonlinear equations of crystal optics
Otto Liess (1989)
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On existence and nonexistence results for nonlinear Schrödinger equations
Herbert Gajewski (1983)
Banach Center Publications
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Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term
Doan Thi Nhu Quynh, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2023)
Applications of Mathematics
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We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the kernel function and the nonlinear terms. Finally, under suitable...