TY - JOUR
T1 - On Some Forward-Backward Diffusion Equations
JO - Journal of Partial Differential Equations
VL - 3
SP - 271
EP - 288
PY - 2006
DA - 2006/08
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5332.html
KW - forward-backward diffusion equation
KW - partial differential inclusion
KW - relaxation property
KW - existence of weak solutions
KW - image processing
AB -  We describe an application of the partial differential inclusion method to the existence of Lipschitz weak solutions for certain forward-backward diffusion equations including the one-dimensional version of the Perona-Malik equation in image processing.