This paper deals wth a regularizing property of the solutions of a wave equation with nonlinear dissipative term. It is shown that finite jump discontinuities (logarithmic type singularities) for t<0 give rise to C1 (continuous) solutions near to the characteristic cone located in t>0.
Regularizing property of the solutions of a dissipative semilinear wave equation / P. Popivanov; A. Slavova; P. Zecca. - In: COMPTES RENDUS DE L'ACADÉMIE BULGARE DES SCIENCES. - ISSN 1310-1331. - STAMPA. - T. 63, No 7, 2010:(2010), pp. 961-970.
Regularizing property of the solutions of a dissipative semilinear wave equation
ZECCA, PIETRO
2010
Abstract
This paper deals wth a regularizing property of the solutions of a wave equation with nonlinear dissipative term. It is shown that finite jump discontinuities (logarithmic type singularities) for t<0 give rise to C1 (continuous) solutions near to the characteristic cone located in t>0.
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