Publication Information

{'id': 'https://openalex.org/W2001254596', 'doi': 'https://doi.org/10.1080/00036811.2011.643781', 'title': 'Shape-explicit constants for some boundary integral operators', 'display_name': 'Shape-explicit constants for some boundary integral operators', 'publication_year': 2011, 'publication_date': '2011-12-21', 'ids': {'openalex': 'https://openalex.org/W2001254596', 'doi': 'https://doi.org/10.1080/00036811.2011.643781', 'mag': '2001254596'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00036811.2011.643781', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S68029218', 'display_name': 'Applicable Analysis', 'issn_l': '0003-6811', 'issn': ['0003-6811', '1026-7360', '1563-504X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5090206332', 'display_name': 'Clemens Pechstein', 'orcid': 'https://orcid.org/0000-0002-3414-4315'}, 'institutions': [{'id': 'https://openalex.org/I121883995', 'display_name': 'Johannes Kepler University of Linz', 'ror': 'https://ror.org/052r2xn60', 'country_code': 'AT', 'type': 'education', 'lineage': ['https://openalex.org/I121883995']}], 'countries': ['AT'], 'is_corresponding': True, 'raw_author_name': 'Clemens Pechstein', 'raw_affiliation_strings': ['Institute of Computational Mathematics, Johannes Kepler University, Altenberger Str. 69, 4040 Linz, Austria'], 'affiliations': [{'raw_affiliation_string': 'Institute of Computational Mathematics, Johannes Kepler University, Altenberger Str. 69, 4040 Linz, Austria', 'institution_ids': ['https://openalex.org/I121883995']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5090206332'], 'corresponding_institution_ids': ['https://openalex.org/I121883995'], 'apc_list': None, 'apc_paid': None, 'fwci': 2.546, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 11, 'citation_normalized_percentile': {'value': 0.561452, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 85, 'max': 86}, 'biblio': {'volume': '92', 'issue': '5', 'first_page': '949', 'last_page': '974'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11205', 'display_name': 'Numerical methods in inverse problems', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T11205', 'display_name': 'Numerical methods in inverse problems', 'score': 0.9996, 'subfield': {'id': 'https://openalex.org/subfields/2610', 'display_name': 'Mathematical Physics'}, 'field': {'id': 'https://openalex.org/fields/26', 'display_name': 'Mathematics'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T12100', 'display_name': 'Advanced Mathematical Modeling in Engineering', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10739', 'display_name': 'Electromagnetic Scattering and Analysis', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/constant', 'display_name': 'Constant (computer programming)', 'score': 0.44019428}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8706912}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.5649073}, {'id': 'https://openalex.org/C62354387', 'wikidata': 'https://www.wikidata.org/wiki/Q875399', 'display_name': 'Boundary (topology)', 'level': 2, 'score': 0.50411093}, {'id': 'https://openalex.org/C191832335', 'wikidata': 'https://www.wikidata.org/wiki/Q4262191', 'display_name': 'Fourier integral operator', 'level': 3, 'score': 0.4761888}, {'id': 'https://openalex.org/C2777027219', 'wikidata': 'https://www.wikidata.org/wiki/Q1284190', 'display_name': 'Constant (computer programming)', 'level': 2, 'score': 0.44019428}, {'id': 'https://openalex.org/C43929395', 'wikidata': 'https://www.wikidata.org/wiki/Q1198874', 'display_name': 'Operator theory', 'level': 2, 'score': 0.38244525}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00036811.2011.643781', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S68029218', 'display_name': 'Applicable Analysis', 'issn_l': '0003-6811', 'issn': ['0003-6811', '1026-7360', '1563-504X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'display_name': 'Reduced inequalities', 'score': 0.49, 'id': 'https://metadata.un.org/sdg/10'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 41, 'referenced_works': ['https://openalex.org/W1488877410', 'https://openalex.org/W1508642950', 'https://openalex.org/W1602383637', 'https://openalex.org/W18178901', 'https://openalex.org/W1844813672', 'https://openalex.org/W1968115370', 'https://openalex.org/W1978012395', 'https://openalex.org/W1982443980', 'https://openalex.org/W1982654437', 'https://openalex.org/W2010904078', 'https://openalex.org/W2017392550', 'https://openalex.org/W2019517543', 'https://openalex.org/W2026629306', 'https://openalex.org/W2028258142', 'https://openalex.org/W2030879142', 'https://openalex.org/W2034423765', 'https://openalex.org/W2059512870', 'https://openalex.org/W2065678317', 'https://openalex.org/W2066886152', 'https://openalex.org/W2069766942', 'https://openalex.org/W2072816215', 'https://openalex.org/W2080213879', 'https://openalex.org/W2107205741', 'https://openalex.org/W2126881652', 'https://openalex.org/W2144098834', 'https://openalex.org/W2146683922', 'https://openalex.org/W2152799582', 'https://openalex.org/W2395556662', 'https://openalex.org/W2496081756', 'https://openalex.org/W2519971170', 'https://openalex.org/W2897373384', 'https://openalex.org/W2899670591', 'https://openalex.org/W4239176246', 'https://openalex.org/W4239433729', 'https://openalex.org/W4253442214', 'https://openalex.org/W4293238311', 'https://openalex.org/W574737413', 'https://openalex.org/W637601404', 'https://openalex.org/W649768284', 'https://openalex.org/W92393779', 'https://openalex.org/W952213083'], 'related_works': ['https://openalex.org/W4226102989', 'https://openalex.org/W3196321529', 'https://openalex.org/W3145840068', 'https://openalex.org/W3134534456', 'https://openalex.org/W2963364582', 'https://openalex.org/W2489272798', 'https://openalex.org/W2439818833', 'https://openalex.org/W2029291378', 'https://openalex.org/W1520266593', 'https://openalex.org/W1004063606'], 'abstract_inverted_index': {'Abstract': [0], 'Among': [1], 'the': [2, 6, 13, 17, 21, 27, 31, 45, 51, 62, 65, 72, 81, 94, 101, 106, 119, 145, 208, 225, 238, 240, 244], 'well-known': [3], 'constants': [4, 15, 42, 83], 'in': [5, 84, 97, 108, 121, 144, 155, 232], 'theory': [7], 'of': [8, 16, 30, 50, 64, 147, 192, 201, 227], 'boundary': [9, 23, 151, 158, 165], 'integral': [10, 24, 152, 166, 168], 'equations': [11, 153], 'are': [12, 126], 'coercivity': [14], 'single-layer': [18], 'potential': [19], 'and': [20, 26, 47, 76, 105, 154, 195, 223, 252], 'hypersingular': [22], 'operator,': [25], 'contraction': [28], 'constant': [29, 107, 120], 'double-layer': [32], 'potential.': [33], 'Whereas': [34], 'there': [35], 'have': [36], 'been': [37], 'rigorous': [38], 'studies': [39], 'how': [40], 'these': [41, 134], 'depend': [43], 'on': [44, 58, 61], 'size': [46], 'aspect': [48], 'ratio': [49], 'underlying': [52], 'domain,': [53], 'only': [54], 'little': [55], 'is': [56, 210, 254], 'known': [57], 'their': [59], 'dependency': [60, 95], 'shape': [63], 'boundary.': [66], 'In': [67], 'this': [68], 'article,': [69], 'we': [70, 92], 'consider': [71], 'homogeneous': [73], 'Laplace': [74], 'equation': [75], 'derive': [77], 'explicit': [78, 96], 'estimates': [79], 'for': [80, 150, 157, 203, 221], 'above-mentioned': [82], 'three': [85, 233], 'dimensions.': [86, 234], 'Using': [87], 'an': [88, 122], 'alternative': [89], 'trace': [90], 'norm,': [91], 'make': [93], 'two': [98], 'geometric': [99], 'parameters,': [100], 'so-called': [102], 'Jones': [103], 'parameter': [104], "Poincaré's": [109], 'inequality.': [110, 124], 'The': [111, 179], 'latter': [112], 'one': [113], 'can': [114], 'be': [115], 'tracked': [116], 'back': [117], 'to': [118, 183, 187, 213], 'isoperimetric': [123], 'There': [125], 'many': [127, 204], 'domains': [128], 'with': [129], 'quite': [130], 'irregular': [131], 'boundaries,': [132], 'where': [133], 'parameters': [135], 'stay': [136], 'bounded.': [137], 'Our': [138], 'results': [139], 'provide': [140], 'a': [141], 'new': [142], 'tool': [143], 'analysis': [146], 'numerical': [148], 'methods': [149], 'particular': [156], 'element': [159, 173], 'based': [160], 'domain': [161], 'decomposition': [162], 'methods.': [163], 'Keywords:': [164], 'equationsboundary': [167], 'operatorsexplicit': [169], "constantsPoincaré's": [170], 'inequalitySobolev': [171], 'extensionboundary': [172], 'methodAMS': [174], 'Subject': [175], 'Classifications::': [176], '65R2065N3831C15': [177], 'Acknowledgements': [178], 'author': [180, 209], 'would': [181], 'like': [182], 'express': [184], 'his': [185], 'thanks': [186], 'Olaf': [188], 'Steinbach': [189], '(Graz': [190], 'University': [191, 200], 'Technology,': [193], 'Austria)': [194], 'Paul': [196], 'Müller': [197], '(Johannes': [198], 'Kepler': [199], 'Linz)': [202], 'fruitful': [205], 'discussions.': [206], 'Furthermore,': [207], 'very': [211], 'grateful': [212], 'Hyea': [214], 'Hyun': [215], 'Kim': [216], '(Kyung': [217], 'Hee': [218], 'University,': [219], 'Korea)': [220], 'providing': [222], 'discussing': [224], 'proof': [226], 'Lemma': [228], '3.4': [229], "(Poincaré's": [230], 'inequality)': [231], 'Last': [235], 'but': [236], 'not': [237], 'least,': [239], 'financial': [241], 'support': [242], 'by': [243], 'Austrian': [245], 'Science': [246], 'Fund': [247], '(FWF)': [248], 'under': [249], 'grants': [250], 'P19255-N18': [251], 'W1214': [253], 'gratefully': [255], 'acknowledged.': [256]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2001254596', 'counts_by_year': [{'year': 2017, 'cited_by_count': 1}, {'year': 2015, 'cited_by_count': 2}, {'year': 2014, 'cited_by_count': 1}, {'year': 2012, 'cited_by_count': 7}], 'updated_date': '2024-12-10T12:24:05.288418', 'created_date': '2016-06-24'}