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Global solutions for a semilinear, two‐dimensional Klein‐Gordon equation with exponential‐type nonlinearity
Author(s) -
Ibrahim Slim,
Majdoub Mohamed,
Masmoudi Nader
Publication year - 2006
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20127
Subject(s) - mathematics , nonlinear system , exponential type , exponential function , type (biology) , exponential growth , klein–gordon equation , mathematical analysis , exponential decay , physics , ecology , quantum mechanics , biology , nuclear physics
We prove the existence and uniqueness of global solutions for a Cauchy problem associated to a semilinear Klein‐Gordon equation in two space dimensions. Our result is based on an interpolation estimate with a sharp constant obtained by a standard variational method. © 2006 Wiley Periodicals, Inc.