In the context of a numerical experiment, it is shown that the switching wave described by the reaction-diffusion equation can be delayed at a medium inhomogeneity with a thickness Δ and amplitude Δβ for a finite time τ = τ(Δβ, Δ) up to a complete stop at it (τ = ∞). Critical values Δβ_c and Δ_c corresponding to the autowave stop are found. The similarity laws τ ～ (Δ_c - Δ)~(γΔ), and τ ～ (Δβ_c - Δβ)~(-γβ) are established, and the critical indices γ_Δ, and γ_β are found. The similarity law is established for critical values of amplitude and width of the inhomogeneity corresponding to the autowave stop Δβ_c ～ Δ_c~(-δ), where δ ≈ 1.
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