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Volume 4, Issue 4
Interaction of Conormal Waves with Different Singularities for Semi-linear Equations

Wang Weike

J. Part. Diff. Eq.,4(1991),pp.87-96

Published online: 1991-04

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  • Abstract
We consider a solution of the semi-linear partial differential equations in higher space dimensions. We show that if there exist two characteristic hypersurface bearing different weak singularities intersect transversally, and another one characteristic hypersurface issues from above intersection, then the solution would be conormal with respect to the union of these surfaces, and satisfy the so-called “sum law”.
  • Keywords

Semi-linear equation space of conormal distribution different weak singularities

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@Article{JPDE-4-87, author = {Wang Weike}, title = {Interaction of Conormal Waves with Different Singularities for Semi-linear Equations}, journal = {Journal of Partial Differential Equations}, year = {1991}, volume = {4}, number = {4}, pages = {87--96}, abstract = { We consider a solution of the semi-linear partial differential equations in higher space dimensions. We show that if there exist two characteristic hypersurface bearing different weak singularities intersect transversally, and another one characteristic hypersurface issues from above intersection, then the solution would be conormal with respect to the union of these surfaces, and satisfy the so-called “sum law”.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5785.html} }
TY - JOUR T1 - Interaction of Conormal Waves with Different Singularities for Semi-linear Equations AU - Wang Weike JO - Journal of Partial Differential Equations VL - 4 SP - 87 EP - 96 PY - 1991 DA - 1991/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5785.html KW - Semi-linear equation KW - space of conormal distribution KW - different weak singularities AB - We consider a solution of the semi-linear partial differential equations in higher space dimensions. We show that if there exist two characteristic hypersurface bearing different weak singularities intersect transversally, and another one characteristic hypersurface issues from above intersection, then the solution would be conormal with respect to the union of these surfaces, and satisfy the so-called “sum law”.
Wang Weike. (1970). Interaction of Conormal Waves with Different Singularities for Semi-linear Equations. Journal of Partial Differential Equations. 4 (4). 87-96. doi:
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