Year: 2026
Type: article
Abstract: In this paper, we consider the following nonlinear parabolic equation $$ \partial _{t}u\,=\,\sum _{i=1}^{n}\partial _{x_{i}}\left[ (\vert u_{x_{i}}\vert -\delta _{i})_{+}^{p-1}\frac{u_{x_{i}}}{\vert u_{x_{i}}\vert }\right] \,\,\,\,\,\,\,\,\,\,\textrm{in}\,\,\,\Omega \times I, $$ ∂ t u = ∑ i = 1 n ∂ x i ( | u x i | - δ i ) + p - 1 u x i | u x i | in Ω × I , where $$\Omega $$ Ω is a bounded open subset of $$\mathbb {R}^{n}$$ R n for $$n\ge 2$$ n ≥ 2 , $$I\subset \mathbb {R}$$ I ⊂ R is a bounded open interval, $$p\ge 2$$ p ≥ 2 , $$\delta _{1},\ldots ,\delta _{n}$$ δ 1 , … , δ n are non-negative numbers and $$\left( \,\cdot \,\right) _{+}$$ · +
Author: Pasquale Ambrosio
Institution: Uppsala University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4416437290
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