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系统科学与数学 1992
TRAVELLING WAVE SOLUTIONS FOR SOME DEGENERATESINGULAR PARABOLIC EQUATIONS I
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Abstract:
The existence and regularity of travelling wave front solutions are discussed for somedegenerate-singular parabolic equations (u~m/m)_t=u_(xx)+u'f(u).It is proved that theconclusions on wave fronts for the equation u_t=u_(xx)+f(u) also hold for these degenerate-singular equations.Here f(u) is assumed to be continuous.