Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.
Ames, K.A., Payne, L.E. (1999)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Exponential stability of positive solutions to some nonlinear heat equations.”
Continuous dependence on modeling for some well-posed perturbations of the backward heat equation.
A remark on parabolic equations.
Haraux, Alain (1997)
Portugaliae Mathematica
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On the backward heat problem: evaluation of the norm of .
Biollay, Yves (1980)
International Journal of Mathematics and Mathematical Sciences
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Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation.
Karachalios, Nikos, Stavrakakis, Nikos, Xanthopoulos, Pavlos (2003)
Abstract and Applied Analysis
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Global existence of solutions for the 1-D radiative and reactive viscous gas dynamics
Wen Zhang, Jianwen Zhang (2012)
Applications of Mathematics
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In this paper, we prove the existence of a global solution to an initial-boundary value problem for 1-D flows of the viscous heat-conducting radiative and reactive gases. The key point here is that the growth exponent of heat conductivity is allowed to be any nonnegative constant; in particular, constant heat conductivity is allowed.
Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound.
Messaoudi, Salim A., Said-Houari, Belkacem (2004)
Journal of Applied Mathematics
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Blowup for degenerate and singular parabolic system with nonlocal source.
Zhou, Jun, Mu, Chunlai, Li, Zhongping (2006)
Boundary Value Problems [electronic only]
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A nonexistence result for a nonlinear PDE with Robin condition.
Khodja, Brahim (2006)
International Journal of Mathematics and Mathematical Sciences
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Stability of vibrations for some Kirchhoff equation with dissipation
Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)
Applications of Mathematics
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In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...