Hello Juri,
> Actually, I see no problems with multi-line prompts in Emacs.
> I tried to use "\n" in PS1 in bash, and then run M-x shell.
> No problems noticed :)
Wow! That's surprising to me.
Maybe I should show my zsh config file that generating this bug:
export ZSH="/home/friend/.oh-my-zsh"
ZSH_THEME="ys"
plugins=(git)
source $ZSH/oh-my-zsh.sh
export DISPLAY=`cat /etc/resolv.conf | grep nameserver | awk '{print $2}'`:0.0
export PATH="/home/friend/.local/bin:$PATH"
Here I used "ys" theme of oh-my-zsh, and it has multi-line prompt.
By the way, I tested bash with multi-line prompt, as you said. No problem.
So the problem comes from zsh?