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A nonperturbative weak noise scheme is applied to the Kardar-Parisi-Zhangequation for a growing interface in all dimensions. It is shown that the growthmorphology can be interpreted in terms of a dynamically evolving texture oflocalized growth modes with superimposed diffusive modes. Applying Derrick'stheorem it is conjectured that the upper critical dimension is four.Comment: 10 pages in revtex and 2 figures in eps, a few typos correcte

Localized Growth Modes, Dynamic Textures, and Upper Critical Dimension for the Kardar-Parisi-Zhang Equation in the Weak-Noise Limit