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Volume 8, Issue 3
Interaction of Three Conormal Waves for Semilinear Wave Equations

Weike Wang

J. Part. Diff. Eq., 8 (1995), pp. 281-288.

Published online: 1995-08

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  • Abstract
In this paper, we consider the interaction of triple of conormal waves with different singularities for semilinear wave equations. We will show that if three characteristic hyperplanes carrying different conormal singularities intersect transversally at the origin, then the solution will be conormal with respect to the three hyperplanes, and a new singularity will be produced on the surface of the light cone at later times. We can also prove here that the strength of the new singularity will be dependent only on the weakest one and strongest one in the three hyperplanes.
  • Keywords

Semilinear wave equation interaction of three singularities conormal wave second microlocaliution

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COPYRIGHT: © Global Science Press

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@Article{JPDE-8-281, author = {Wang , Weike}, title = {Interaction of Three Conormal Waves for Semilinear Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {1995}, volume = {8}, number = {3}, pages = {281--288}, abstract = { In this paper, we consider the interaction of triple of conormal waves with different singularities for semilinear wave equations. We will show that if three characteristic hyperplanes carrying different conormal singularities intersect transversally at the origin, then the solution will be conormal with respect to the three hyperplanes, and a new singularity will be produced on the surface of the light cone at later times. We can also prove here that the strength of the new singularity will be dependent only on the weakest one and strongest one in the three hyperplanes.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5660.html} }
TY - JOUR T1 - Interaction of Three Conormal Waves for Semilinear Wave Equations AU - Wang , Weike JO - Journal of Partial Differential Equations VL - 3 SP - 281 EP - 288 PY - 1995 DA - 1995/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5660.html KW - Semilinear wave equation KW - interaction of three singularities KW - conormal wave KW - second microlocaliution AB - In this paper, we consider the interaction of triple of conormal waves with different singularities for semilinear wave equations. We will show that if three characteristic hyperplanes carrying different conormal singularities intersect transversally at the origin, then the solution will be conormal with respect to the three hyperplanes, and a new singularity will be produced on the surface of the light cone at later times. We can also prove here that the strength of the new singularity will be dependent only on the weakest one and strongest one in the three hyperplanes.
Wang , Weike. (1995). Interaction of Three Conormal Waves for Semilinear Wave Equations. Journal of Partial Differential Equations. 8 (3). 281-288. doi:
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