scholarly journals On pointwise decay of waves

2021 ◽  
Vol 62 (6) ◽  
pp. 061509
Author(s):  
W. Schlag
Keyword(s):  
Pointwise Decay

scholarly journals Pointwise decay for the Maxwell field on black hole space–times

2017 ◽  
Vol 316 ◽  
pp. 53-93 ◽  
Author(s):  
Jason Metcalfe ◽  
Daniel Tataru ◽  
Mihai Tohaneanu
Keyword(s):  
Black Hole ◽  
Maxwell Field ◽  
Pointwise Decay

scholarly journals Abstract Theory of Pointwise Decay with Applications to Wave and Schrödinger Equations

2016 ◽  
Vol 17 (8) ◽  
pp. 2075-2101 ◽  
Author(s):  
Vladimir Georgescu ◽  
Manuel Larenas ◽  
Avy Soffer
Keyword(s):  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Abstract Theory ◽  
Pointwise Decay

scholarly journals Fujita modified exponent for scale invariant damped semilinear wave equations

2021 ◽  
Author(s):  
Felisia Angela Chiarello ◽  
Giovanni Girardi ◽  
Sandra Lucente
Keyword(s):  
Initial Data ◽  
Wave Equations ◽  
Nonlinear Term ◽  
Blow Up ◽  
Damping Coefficient ◽  
Damped Wave Equation ◽  
Scale Invariant ◽  
Decay Condition ◽  
Upper Bound Estimate ◽  
Pointwise Decay

AbstractThe aim of this paper is to prove a blow-up result of the solution for a semilinear scale invariant damped wave equation under a suitable decay condition on radial initial data. The admissible range for the power of the nonlinear term depends both on the damping coefficient and on the pointwise decay order of the initial data. In addition, we give an upper bound estimate for the lifespan of the solution. It depends not only on the exponent of the nonlinear term and not only on the damping coefficient but also on the size of the decay rate of the initial data.

Saint-Venant pointwise decay estimates

1982 ◽  
Vol 12 (3) ◽  
pp. 313-316 ◽  
Author(s):  
J. N. Flavin
Keyword(s):  
Decay Estimates ◽  
Pointwise Decay
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