The asymptotic behavior of solutions of second order systems of partial differential equations

DOI10.1016/0022-0396(73)90032-6zbMath0257.35017OpenAlexW1966699696MaRDI QIDQ2559610

Amy Cohen Murray, Murray H. Protter

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90032-6

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Linear higher-order PDEs (35G05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (10)

Continuous dependence and uniqueness for heat-conducting viscous fluids in bounded domains ⋮ Unnamed Item ⋮ An example of nonlinear wave equation whose solutions decay faster than exponentially ⋮ Uniqueness and growth of weak solutions to certain linear differential equations in Hilbert space ⋮ Uniqueness and continuous dependence for the equations of elastodynamics without strain energy function ⋮ Uniqueness and stability in linear viscoelasticity ⋮ Some new uniqueness and continuous dependence results for evolutionary equations of indefinite type: The weighted energy method ⋮ Growth and instability theorems for wave equations with dissipation, with applications in contemporary continuum mechanics ⋮ Continuous dependence for the compressible linearly viscous fluid ⋮ On the continuous dependence in linear anisotropic viscoelasticity on exterior domains

Cites Work

• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• Lower Bounds for Solutions of Hyperbolic Inequalities
• Lower Bounds and Uniqueness Theorems for Solutions of Differential Equations in a Hilbert Space
• Asymptotic Behavior of Solutions of Hyperbolic Inequalities
• On the Uniquenes of Bounded Solutions to $u'(t) = A(t)u(t)$ and $u(t) = A(t)u(t)$ in Hilbert Space
• Properties of solutions of ordinary differential equations in banach space

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