Quasi-linear Equations

  • Marin MarinEmail author
  • Andreas Öchsner


Let \(\Omega \) be a bounded domain in the \(n-\)dimensional Euclidean space \(\mathrm{I}\!\mathrm{R}^n\). The general form of a partial differential equation is: \(F(x,u, u_{x_1},\ldots ,u_{x_n}, u_{x_1x_2},\ldots , u_{x_ix_j}, u_{x_1x_2\ldots x_i},\ldots , u_{x_1x_2\ldots x_n})=0,\) where by \(u_{x_i},u_{x_ix_j}, u_{x_ix_jx_k},\ldots ,\) we have denoted partial derivatives \(\frac{\partial u}{\partial x_i}, \frac{\partial ^2 u}{\partial x_i\partial x_j}, \frac{\partial ^3 u}{\partial x_i\partial x_j\partial x_k},\ldots \).


Quasi-linear Equations Quasi-linear Partial Differential Equations Prime Integrals Real Distinguishing Feature Real Characteristic Curves 
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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
  2. 2.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingen am NeckarGermany

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