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The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation
2010
Advances in Mathematical Physics
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We study the initial value problem for the quadratic nonlinear Klein-Gordon equation , , , , where and . Using the Shatah normal forms method, we obtain a sharp asymptotic behavior of small solutions without the condition of a compact support on the initial data which was assumed in the previous works.
doi:10.1155/2010/504324
fatcat:umabqt7flnatzdw7ugqktajdhq