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Interaction of Conormal Waves With Strong and Weak Singularities For Semi-Linear Equations

Interaction of Conormal Waves With Strong and Weak Singularities for Semi-Linear Equations
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摘要 We first define a kind of new function space, called the space of twice conormal distributions. With some estimates on these function spaces, we can prove that if there exist two characteristic hypersurfaces bearing strong and weak singularities respectively intersect transversally, then some new singularities will take place anti their strength will be no more than the original weak one. We first define a kind of new function space, called the space of twice conormal distributions. With some estimates on these function spaces, we can prove that if there exist two characteristic hypersurfaces bearing strong and weak singularities respectively intersect transversally, then some new singularities will take place anti their strength will be no more than the original weak one.
出处 《Wuhan University Journal of Natural Sciences》 CAS 1996年第1期20-24,共5页 武汉大学学报(自然科学英文版)
关键词 semi-linear hyperbolic partial differential equation conormal distribution nonlinear wave energy estiMate semi-linear hyperbolic partial differential equation,conormal distribution, nonlinear wave, energy estiMate
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