Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation

This publication has 18 references indexed in Scilit:

• On a boundary controller of fractional type
  Nonlinear Analysis, 2010
• Monotone iterative method for initial value problem involving Riemann–Liouville fractional derivatives
  Nonlinear Analysis, 2009
• Some new existence results for fractional differential inclusions with boundary conditions
  Mathematical and Computer Modelling, 2009
• Existence of Periodic Solution for a Nonlinear Fractional Differential Equation
  Boundary Value Problems, 2009
• Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping–source interaction
  Journal of Differential Equations, 2007
• A blow up result for a fractionally damped wave equation
  Nonlinear Differential Equations and Applications NoDEA, 2005
• Existence and asymptotic stability for evolution problems on manifolds with damping and source terms
  Journal of Mathematical Analysis and Applications, 2004
• Exponential Growth for a Fractionally Damped Wave Equation
  Zeitschrift für Analysis und ihre Anwendungen, 2003
• Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
  Calculus of Variations and Partial Differential Equations, 2002
• Non-Existence Results for a Semilinear Hyperbolic Problem with Boundary Condition of Memory Type
  Zeitschrift für Analysis und ihre Anwendungen, 2000