Parabolic PDEs with variable coefficients: uniqueness

  • Andrea Pascucci
Part of the Bocconi & Springer Series book series (BS)


In this chapter we consider elliptic-parabolic equations with variable coefficients of the form
$$ L_a u: = Lu - au = 0, $$
where L is the second order operator
$$ L = \frac{1} {2}\sum\limits_{j,k = 1}^N {c_{jk} \partial _{x_j x_k } + } \sum\limits_{j = 1}^N {b_j \partial _{x_j } - } \partial _t , (t,x) \in \mathbb{R}^{N + 1} . $$


Cauchy Problem Maximum Principle Classical Solution Fundamental Solution Heat Operator 
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Copyright information

© Springer-Verlag Italia 2011

Authors and Affiliations

  • Andrea Pascucci
    • 1
  1. 1.Department of MathematicsUniversity of BolognaBologna

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