Mathematical Behavior of Solutions of P-Laplacian Equation with Logarithmic Source Term

PİŞKİN, Erhan; IRKIL, Nazlı

Erhan PİŞKİN ¹

, Nazlı IRKIL ²

¹Dicle University, Department of Mathematics, DIYARBAKIR
²Mardin Said Nursi Anatolian High School, MARDIN

Sigma J Eng Nat Sci 2019; 10(): 213-220

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Abstract

For the p-Laplacian wave equation with logarithmic nonlinearity of initial value problem is analyzed. Focusing on the interplay between damped term and logarithmic source, we discuss the local existence of solutions.

Keywords: Existence, logarithmic nonlinearity.