CAJ | 학술논문

研究了三维空间中一类波动方程柯西问题整体解的渐近性,在较弱的条件下运用不动点理论和扰动方法得到了这类波动方程柯西问题在C~2空间中整体解的存在唯一性及形式近似解的渐近合理性,推广了近期文献中相关的某些结果.
연구료삼유공간중일류파동방정가서문제정체해적점근성,재교약적조건하운용불동점이론화우동방법득도료저류파동방정가서문제재C~2공간중정체해적존재유일성급형식근사해적점근합이성,추엄료근기문헌중상관적모사결과.
This paper studies the asymptotic solution of a Cauchy problem for a wave equation in three dimensions space.By applying fixed point theory and perturbation method,the existence and uniqueness of the global solution and the validity of formal approximation for the wave equation are established in the classical sense of C~2 under weaker assumption.The results extend some corresponding ones in recent literature.