Global solutions for a semilinear, two‐dimensional Klein‐Gordon equation with exponential‐type nonlinearity | Zendy

Ibrahim Slim | Zendy; Majdoub Mohamed | Zendy; Masmoudi Nader | Zendy

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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.

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