We study the (Formula presented.) decay properties of the solution to the 1D defocusing damped wave equation in the Fujita subcritical case (Formula presented.), under the initial condition that the solution takes nonnegative values at every point. Specifically, we investigate the (Formula presented.) decay properties of the solution when the initial data decays slowly at infinity.
Decay of Defocusing Damped Wave Equation With Nonlinearity Below the Fujita Exponent
Fujiwara K.;Georgiev V.
2025-01-01
Abstract
We study the (Formula presented.) decay properties of the solution to the 1D defocusing damped wave equation in the Fujita subcritical case (Formula presented.), under the initial condition that the solution takes nonnegative values at every point. Specifically, we investigate the (Formula presented.) decay properties of the solution when the initial data decays slowly at infinity.File in questo prodotto:
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