Photo from archive.org
A probabilistic representation is constructed for classical solution to the Cauchy problem for system of semilinear parabolic equations such that the second order terms with different coefficients enter in diagonal… Click to show full abstract
A probabilistic representation is constructed for classical solution to the Cauchy problem for system of semilinear parabolic equations such that the second order terms with different coefficients enter in diagonal way, while the lower order terms enter in nondiagonal way. The systems of this kind arise as mathematical models of the parabolic conservation and balance laws and as mathematical models of dynamical systems with switching regimes.
Keywords:
balance laws;
probabilistic models;
switching regimes;
conservation balance
Journal Title: Journal of Mathematical Sciences
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Sciences
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!