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A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients

✍ Scribed by Adem Kılıçman; Hassan Eltayeb


Book ID
108052375
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
205 KB
Volume
21
Category
Article
ISSN
0893-9659

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The coupling of hyperbolic and elliptic
✍ Cristian A. Coclici; Gheorghe Moroşanu; Wolfgang L. Wendland 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 298 KB 👁 2 views

We consider a one-dimensional coupled problem for elliptic second-order ODEs with natural transmission conditions. In one subinterval, the coe$cient '0 of the second derivative tends to zero. Then the equation becomes there hyperbolic and the natural transmission conditions are not ful"lled anymore.