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SCALE-INVARIANT SEMILINEAR DAMPED WAVE MODELS WITH MASS TERM AND INTEGRABLE IN TIME SPEED OF PROPAGATION

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Author(s):
Aslan, Halit Sevki ; Ebert, Marcelo Rempel ; Reissig, Michael
Total Authors: 3
Document type: Journal article
Source: DIFFERENTIAL AND INTEGRAL EQUATIONS; v. 36, n. 5-6, p. 38-pg., 2023-05-01.
Abstract

In this paper, we consider the Cauchy problem for scaleinvariant semilinear wave models with time-dependent mass, dissipation and integrable time-dependent propagation speed. The goal is to study the interplay between the coefficients appearing in the mass and dissipation term and the exponent in the speed of propagation to prove global (in time) existence of small data Sobolev solutions and blow-up results. (AU)

FAPESP's process: 20/08276-9 - The stationary phase method and applications to evolution partial differential equations
Grantee:Marcelo Rempel Ebert
Support Opportunities: Regular Research Grants
FAPESP's process: 21/01743-3 - Asymptotic profiles for evolution equations with time-dependent coefficients
Grantee:Halit Sevki Aslan
Support Opportunities: Scholarships in Brazil - Post-Doctoral