| YIN Huicheng,ZHENG Qin.[J].数学年刊A辑,1999,20(4):455~472 |
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| THE BLOWUP OF RADIALLY SYMMETRIC SOLUTIONS FOR2-D QUASILINEAR WAVE EQUATIONS WITH CUBIC NONLINEARITY |
| Received:May 11, 1998 Revised:April 19, 1999 |
| DOI： |
| 中文关键词: |
| 英文关键词:Lifespan, Geometric blowup,
Nash-M$\ddot {\text{o}}$ser iteration |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| For a special class of quasilinear wave equations with small initial data
which satisfy the nondegenerate assumption, the authors
prove that the radially symmetric solution develops singularities in the
second order derivatives in finite time while the first order derivatives
and the solution itself remain continuous and small. More precisely, it turns out that
this solution is a ``geometric blowup solution of cusp type'', according to
the terminology posed by S. Alinhac$^{[2]}$. |
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