{'fraction_non_alphanumeric': 0.03359683794466403, 'fraction_numerical': 0.017786561264822136, 'mean_word_length': 5.035714285714286, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Local existence and uniqueness of the mild solution to the 1D Vlasov–Poisson system with an initial condition of bounded variation

We propose a result of local existence and uniqueness of a mild solution to the one‐dimensional Vlasov–Poisson system. We establish the result for an initial condition lying in the space W1,1(ℝ2), then we extend it to initial conditions lying in the space BV(ℝ2), without any assumption of continuity, boundedness or compact support. Copyright © 2010 John Wiley & Sons, Ltd.